Hello Harsha Rellu,
Someone would need to look at the details of this with you if you do not feel it is working correctly. I utilize relative date filters on several dashboards here at Tableau and they are all in sync regardless of whoever is viewing. Our data is updated each day and the visualization only changes based on the new data.
If it is possible to share the tableau workbook and data here in the community then we may be able to assist but otherwise I suggest contact Tableau Support at Submit a case to our support team | Tableau Software for assistance with the issue.