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Finding the Fourth Proportional to 10,691.10, 14,757.84 and 8,046.24

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Solution

The fourth proportional to 10,691.10, 14,757.84 and 8,046.24 is: 11,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.10 : 14,757.84 = 8,046.24 : x
  2. Step 2: Convert to fraction form
    10,691.10/14,757.84 = 8,046.24/x
  3. Step 3: Cross multiply
    10,691.10x = 14,757.84 × 8,046.24
  4. Step 4: Simplify right side
    10,691.10x = 118,745,122.52
  5. Step 5: Solve for x
    x = 118,745,122.52/10,691.10
  6. Step 6: Final answer
    x = 11,106.91

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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.