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Finding the Fourth Proportional to 10,938.26, 16,417.11 and 4,377.26

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Solution

The fourth proportional to 10,938.26, 16,417.11 and 4,377.26 is: 6,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.26 : 16,417.11 = 4,377.26 : x
  2. Step 2: Convert to fraction form
    10,938.26/16,417.11 = 4,377.26/x
  3. Step 3: Cross multiply
    10,938.26x = 16,417.11 × 4,377.26
  4. Step 4: Simplify right side
    10,938.26x = 71,861,958.92
  5. Step 5: Solve for x
    x = 71,861,958.92/10,938.26
  6. Step 6: Final answer
    x = 6,569.78

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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.