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Finding the Fourth Proportional to 10,344.77, 15,517.31 and 5,004.85

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Solution

The fourth proportional to 10,344.77, 15,517.31 and 5,004.85 is: 7,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.77 : 15,517.31 = 5,004.85 : x
  2. Step 2: Convert to fraction form
    10,344.77/15,517.31 = 5,004.85/x
  3. Step 3: Cross multiply
    10,344.77x = 15,517.31 × 5,004.85
  4. Step 4: Simplify right side
    10,344.77x = 77,661,772.82
  5. Step 5: Solve for x
    x = 77,661,772.82/10,344.77
  6. Step 6: Final answer
    x = 7,507.35

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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.