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Finding the Fourth Proportional to 8,161.29, 12,241.72 and 2,317.90

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Solution

The fourth proportional to 8,161.29, 12,241.72 and 2,317.90 is: 3,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.29 : 12,241.72 = 2,317.90 : x
  2. Step 2: Convert to fraction form
    8,161.29/12,241.72 = 2,317.90/x
  3. Step 3: Cross multiply
    8,161.29x = 12,241.72 × 2,317.90
  4. Step 4: Simplify right side
    8,161.29x = 28,375,082.79
  5. Step 5: Solve for x
    x = 28,375,082.79/8,161.29
  6. Step 6: Final answer
    x = 3,476.79

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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.