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Finding the Fourth Proportional to 8,115.40, 12,166.17 and 3,183.90

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Solution

The fourth proportional to 8,115.40, 12,166.17 and 3,183.90 is: 4,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.40 : 12,166.17 = 3,183.90 : x
  2. Step 2: Convert to fraction form
    8,115.40/12,166.17 = 3,183.90/x
  3. Step 3: Cross multiply
    8,115.40x = 12,166.17 × 3,183.90
  4. Step 4: Simplify right side
    8,115.40x = 38,735,868.66
  5. Step 5: Solve for x
    x = 38,735,868.66/8,115.40
  6. Step 6: Final answer
    x = 4,773.13

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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.