Password changed but user still has access?

I agree with George - I am in a similar situation.  I used my dropbox on a work computer and after leaving the company realized it is probably still sitting there with access.  I changed the password thinking that would stop anyone from getting into it and assumed all my other devices would need to be re-signed in with new password.  No so, they all work without the new password - there must be a good reason it works like this, but I have no access to that computer to unlink.  The only thing I can hope is that the overall computer password is not discoverable. I have changed passwords on all my web based accounts that are sitting in my chrome tool bar.(facebook, gmail, linkedin etc)