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Finding the Fourth Proportional to 5,165.47, 7,765.50 and 4,136.74

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Solution

The fourth proportional to 5,165.47, 7,765.50 and 4,136.74 is: 6,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.47 : 7,765.50 = 4,136.74 : x
  2. Step 2: Convert to fraction form
    5,165.47/7,765.50 = 4,136.74/x
  3. Step 3: Cross multiply
    5,165.47x = 7,765.50 × 4,136.74
  4. Step 4: Simplify right side
    5,165.47x = 32,123,850.57
  5. Step 5: Solve for x
    x = 32,123,850.57/5,165.47
  6. Step 6: Final answer
    x = 6,218.96

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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.