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Finding the Fourth Proportional to 11,882.52, 16,401.42 and 7,691.04

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Solution

The fourth proportional to 11,882.52, 16,401.42 and 7,691.04 is: 10,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.52 : 16,401.42 = 7,691.04 : x
  2. Step 2: Convert to fraction form
    11,882.52/16,401.42 = 7,691.04/x
  3. Step 3: Cross multiply
    11,882.52x = 16,401.42 × 7,691.04
  4. Step 4: Simplify right side
    11,882.52x = 126,143,977.28
  5. Step 5: Solve for x
    x = 126,143,977.28/11,882.52
  6. Step 6: Final answer
    x = 10,615.93

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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.