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Finding the Fourth Proportional to 8,002.40, 11,997.20 and 3,381.60

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Solution

The fourth proportional to 8,002.40, 11,997.20 and 3,381.60 is: 5,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.40 : 11,997.20 = 3,381.60 : x
  2. Step 2: Convert to fraction form
    8,002.40/11,997.20 = 3,381.60/x
  3. Step 3: Cross multiply
    8,002.40x = 11,997.20 × 3,381.60
  4. Step 4: Simplify right side
    8,002.40x = 40,569,731.52
  5. Step 5: Solve for x
    x = 40,569,731.52/8,002.40
  6. Step 6: Final answer
    x = 5,069.70

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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.