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Finding the Fourth Proportional to 10,344.98, 15,517.53 and 7,049.90

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Solution

The fourth proportional to 10,344.98, 15,517.53 and 7,049.90 is: 10,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.98 : 15,517.53 = 7,049.90 : x
  2. Step 2: Convert to fraction form
    10,344.98/15,517.53 = 7,049.90/x
  3. Step 3: Cross multiply
    10,344.98x = 15,517.53 × 7,049.90
  4. Step 4: Simplify right side
    10,344.98x = 109,396,957.16
  5. Step 5: Solve for x
    x = 109,396,957.16/10,344.98
  6. Step 6: Final answer
    x = 10,574.89

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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.