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Finding the Fourth Proportional to 11,982.75, 16,537.43 and 7,204.25

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Solution

The fourth proportional to 11,982.75, 16,537.43 and 7,204.25 is: 9,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.75 : 16,537.43 = 7,204.25 : x
  2. Step 2: Convert to fraction form
    11,982.75/16,537.43 = 7,204.25/x
  3. Step 3: Cross multiply
    11,982.75x = 16,537.43 × 7,204.25
  4. Step 4: Simplify right side
    11,982.75x = 119,139,832.29
  5. Step 5: Solve for x
    x = 119,139,832.29/11,982.75
  6. Step 6: Final answer
    x = 9,942.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.