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Finding the Fourth Proportional to 11,269.92, 16,897.68 and 5,414.88

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Solution

The fourth proportional to 11,269.92, 16,897.68 and 5,414.88 is: 8,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269.92 : 16,897.68 = 5,414.88 : x
  2. Step 2: Convert to fraction form
    11,269.92/16,897.68 = 5,414.88/x
  3. Step 3: Cross multiply
    11,269.92x = 16,897.68 × 5,414.88
  4. Step 4: Simplify right side
    11,269.92x = 91,498,909.48
  5. Step 5: Solve for x
    x = 91,498,909.48/11,269.92
  6. Step 6: Final answer
    x = 8,118.86

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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.