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Finding the Fourth Proportional to 8,109, 12,164.28 and 3,727.68

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Solution

The fourth proportional to 8,109, 12,164.28 and 3,727.68 is: 5,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109 : 12,164.28 = 3,727.68 : x
  2. Step 2: Convert to fraction form
    8,109/12,164.28 = 3,727.68/x
  3. Step 3: Cross multiply
    8,109x = 12,164.28 × 3,727.68
  4. Step 4: Simplify right side
    8,109x = 45,344,543.27
  5. Step 5: Solve for x
    x = 45,344,543.27/8,109
  6. Step 6: Final answer
    x = 5,591.88

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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.