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Finding the Fourth Proportional to 10,861.39, 16,294.11 and 3,467.71

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Solution

The fourth proportional to 10,861.39, 16,294.11 and 3,467.71 is: 5,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.39 : 16,294.11 = 3,467.71 : x
  2. Step 2: Convert to fraction form
    10,861.39/16,294.11 = 3,467.71/x
  3. Step 3: Cross multiply
    10,861.39x = 16,294.11 × 3,467.71
  4. Step 4: Simplify right side
    10,861.39x = 56,503,149.38
  5. Step 5: Solve for x
    x = 56,503,149.38/10,861.39
  6. Step 6: Final answer
    x = 5,202.20

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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.