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Finding the Fourth Proportional to 10,645.29, 14,691.24 and 5,929.74

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Solution

The fourth proportional to 10,645.29, 14,691.24 and 5,929.74 is: 8,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.29 : 14,691.24 = 5,929.74 : x
  2. Step 2: Convert to fraction form
    10,645.29/14,691.24 = 5,929.74/x
  3. Step 3: Cross multiply
    10,645.29x = 14,691.24 × 5,929.74
  4. Step 4: Simplify right side
    10,645.29x = 87,115,233.48
  5. Step 5: Solve for x
    x = 87,115,233.48/10,645.29
  6. Step 6: Final answer
    x = 8,183.45

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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.