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Finding the Fourth Proportional to 8,105.36, 12,149 and 3,423.96

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Solution

The fourth proportional to 8,105.36, 12,149 and 3,423.96 is: 5,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.36 : 12,149 = 3,423.96 : x
  2. Step 2: Convert to fraction form
    8,105.36/12,149 = 3,423.96/x
  3. Step 3: Cross multiply
    8,105.36x = 12,149 × 3,423.96
  4. Step 4: Simplify right side
    8,105.36x = 41,597,690.04
  5. Step 5: Solve for x
    x = 41,597,690.04/8,105.36
  6. Step 6: Final answer
    x = 5,132.12

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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.