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Finding the Fourth Proportional to 7,351.71, 10,136.12 and 6,140.90

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Solution

The fourth proportional to 7,351.71, 10,136.12 and 6,140.90 is: 8,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.71 : 10,136.12 = 6,140.90 : x
  2. Step 2: Convert to fraction form
    7,351.71/10,136.12 = 6,140.90/x
  3. Step 3: Cross multiply
    7,351.71x = 10,136.12 × 6,140.90
  4. Step 4: Simplify right side
    7,351.71x = 62,244,817.92
  5. Step 5: Solve for x
    x = 62,244,817.92/7,351.71
  6. Step 6: Final answer
    x = 8,466.71

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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.