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Finding the Fourth Proportional to 10,891.85, 16,311.85 and 6,265.13

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Solution

The fourth proportional to 10,891.85, 16,311.85 and 6,265.13 is: 9,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.85 : 16,311.85 = 6,265.13 : x
  2. Step 2: Convert to fraction form
    10,891.85/16,311.85 = 6,265.13/x
  3. Step 3: Cross multiply
    10,891.85x = 16,311.85 × 6,265.13
  4. Step 4: Simplify right side
    10,891.85x = 102,195,763.57
  5. Step 5: Solve for x
    x = 102,195,763.57/10,891.85
  6. Step 6: Final answer
    x = 9,382.78

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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.