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Finding the Fourth Proportional to 8,105.34, 12,149.10 and 3,174.06

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Solution

The fourth proportional to 8,105.34, 12,149.10 and 3,174.06 is: 4,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.34 : 12,149.10 = 3,174.06 : x
  2. Step 2: Convert to fraction form
    8,105.34/12,149.10 = 3,174.06/x
  3. Step 3: Cross multiply
    8,105.34x = 12,149.10 × 3,174.06
  4. Step 4: Simplify right side
    8,105.34x = 38,561,972.35
  5. Step 5: Solve for x
    x = 38,561,972.35/8,105.34
  6. Step 6: Final answer
    x = 4,757.60

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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.