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Finding the Fourth Proportional to 6,874.10, 10,311.14 and 2,491.55

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Solution

The fourth proportional to 6,874.10, 10,311.14 and 2,491.55 is: 3,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.10 : 10,311.14 = 2,491.55 : x
  2. Step 2: Convert to fraction form
    6,874.10/10,311.14 = 2,491.55/x
  3. Step 3: Cross multiply
    6,874.10x = 10,311.14 × 2,491.55
  4. Step 4: Simplify right side
    6,874.10x = 25,690,720.87
  5. Step 5: Solve for x
    x = 25,690,720.87/6,874.10
  6. Step 6: Final answer
    x = 3,737.32

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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.