
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Six partners decide to distribute their company's annual profits in the ratio 2:4:4:5:6:7. If the total profit for the year is $\$82,500$, how much does the partner with the largest share receive?

Present the answer in LaTex format: \boxed{Your answer}
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