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Finding the Fourth Proportional to 10,366.53, 14,306.21 and 5,891.04

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Solution

The fourth proportional to 10,366.53, 14,306.21 and 5,891.04 is: 8,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.53 : 14,306.21 = 5,891.04 : x
  2. Step 2: Convert to fraction form
    10,366.53/14,306.21 = 5,891.04/x
  3. Step 3: Cross multiply
    10,366.53x = 14,306.21 × 5,891.04
  4. Step 4: Simplify right side
    10,366.53x = 84,278,425.90
  5. Step 5: Solve for x
    x = 84,278,425.90/10,366.53
  6. Step 6: Final answer
    x = 8,129.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.