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Finding the Fourth Proportional to 11,105.52, 16,658.16 and 7,414.92

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Solution

The fourth proportional to 11,105.52, 16,658.16 and 7,414.92 is: 11,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.52 : 16,658.16 = 7,414.92 : x
  2. Step 2: Convert to fraction form
    11,105.52/16,658.16 = 7,414.92/x
  3. Step 3: Cross multiply
    11,105.52x = 16,658.16 × 7,414.92
  4. Step 4: Simplify right side
    11,105.52x = 123,518,923.75
  5. Step 5: Solve for x
    x = 123,518,923.75/11,105.52
  6. Step 6: Final answer
    x = 11,122.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.