Could it possibly be this stand (at Dell parts) that you are looking for?

I think JOcean had a good guess

in terms of Dell model naming, 7420 is the AIO variant of 7020 desktop, and so 7410 is the AIO variant of 7010, 7400 for 7000 and so on so forth

here are all the stands for 7410 AIO which apply to 7420 too, the latter too new model to have released part list yet

when you look inside the spec sheet of OptiPlex All-in-One thin client solution Intel® CoreTM processor [Gen ID: 7420] which is the official name of 7420 AIO

PowerPoint Presentation

you find small print:

OptiPlex Entry 24 All-in-One Basic (Tilt/Pedestal) Stand | DPN: 8NJ3, or DY9T9 or 0MXYW 

so there are actually three basic fixed stands, among these DY9T9 as shown above.

OptiPlex Entry 24 All-in-One Height Adjustable Stand | DPN: 3G8H3 or D4F0J

who would imagine. Dell has different stands for the Dell OptiPlex All-in-One Plus 7410?

I thought the stands are the same as AIO 7410.

can someone explain why the AIO plus and AIO use different stands?  there is actually a need for AIO plus stand too?  What is Dell's wisdom here?   

pic shows a silver color stand for AIO plus and black for AIO.

I am quite sure the stands are physically interchangeable.

Oh I know now.  Dell deploys a different color stand for AIO plus so they can tell the AIO is a plus or not plus in a glance.  otherwise they look identical in appearance.

@redxps630​ Thanks for the great follow up. I can always depend on you for in depth parts information!

Unfortunately the M7J52 is not compatible.  The other parts listed for the 7410 basic are likely what I need however they are not available for sale anywhere. 

Try chat w Dell sales on line and give these DP/N to inquire about stock availability