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Finding the Fourth Proportional to 10,690.38, 16,033.14 and 5,140.87

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Solution

The fourth proportional to 10,690.38, 16,033.14 and 5,140.87 is: 7,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.38 : 16,033.14 = 5,140.87 : x
  2. Step 2: Convert to fraction form
    10,690.38/16,033.14 = 5,140.87/x
  3. Step 3: Cross multiply
    10,690.38x = 16,033.14 × 5,140.87
  4. Step 4: Simplify right side
    10,690.38x = 82,424,248.35
  5. Step 5: Solve for x
    x = 82,424,248.35/10,690.38
  6. Step 6: Final answer
    x = 7,710.13

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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.