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Finding the Fourth Proportional to 11,092.71, 16,542.85 and 9,459.75

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Solution

The fourth proportional to 11,092.71, 16,542.85 and 9,459.75 is: 14,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.71 : 16,542.85 = 9,459.75 : x
  2. Step 2: Convert to fraction form
    11,092.71/16,542.85 = 9,459.75/x
  3. Step 3: Cross multiply
    11,092.71x = 16,542.85 × 9,459.75
  4. Step 4: Simplify right side
    11,092.71x = 156,491,201.64
  5. Step 5: Solve for x
    x = 156,491,201.64/11,092.71
  6. Step 6: Final answer
    x = 14,107.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.