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Finding the Fourth Proportional to 10,930.72, 16,397.16 and 3,140.68

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Solution

The fourth proportional to 10,930.72, 16,397.16 and 3,140.68 is: 4,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.72 : 16,397.16 = 3,140.68 : x
  2. Step 2: Convert to fraction form
    10,930.72/16,397.16 = 3,140.68/x
  3. Step 3: Cross multiply
    10,930.72x = 16,397.16 × 3,140.68
  4. Step 4: Simplify right side
    10,930.72x = 51,498,232.47
  5. Step 5: Solve for x
    x = 51,498,232.47/10,930.72
  6. Step 6: Final answer
    x = 4,711.33

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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.