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Finding the Fourth Proportional to 8,122.40, 12,183.60 and 6,737.30

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Solution

The fourth proportional to 8,122.40, 12,183.60 and 6,737.30 is: 10,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.40 : 12,183.60 = 6,737.30 : x
  2. Step 2: Convert to fraction form
    8,122.40/12,183.60 = 6,737.30/x
  3. Step 3: Cross multiply
    8,122.40x = 12,183.60 × 6,737.30
  4. Step 4: Simplify right side
    8,122.40x = 82,084,568.28
  5. Step 5: Solve for x
    x = 82,084,568.28/8,122.40
  6. Step 6: Final answer
    x = 10,105.95

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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.