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Finding the Fourth Proportional to 8,138.21, 12,207.31 and 3,753.27

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Solution

The fourth proportional to 8,138.21, 12,207.31 and 3,753.27 is: 5,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.21 : 12,207.31 = 3,753.27 : x
  2. Step 2: Convert to fraction form
    8,138.21/12,207.31 = 3,753.27/x
  3. Step 3: Cross multiply
    8,138.21x = 12,207.31 × 3,753.27
  4. Step 4: Simplify right side
    8,138.21x = 45,817,330.40
  5. Step 5: Solve for x
    x = 45,817,330.40/8,138.21
  6. Step 6: Final answer
    x = 5,629.90

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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.