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Finding the Fourth Proportional to 10,393.12, 15,591.60 and 6,502.24

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Solution

The fourth proportional to 10,393.12, 15,591.60 and 6,502.24 is: 9,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.12 : 15,591.60 = 6,502.24 : x
  2. Step 2: Convert to fraction form
    10,393.12/15,591.60 = 6,502.24/x
  3. Step 3: Cross multiply
    10,393.12x = 15,591.60 × 6,502.24
  4. Step 4: Simplify right side
    10,393.12x = 101,380,325.18
  5. Step 5: Solve for x
    x = 101,380,325.18/10,393.12
  6. Step 6: Final answer
    x = 9,754.56

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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.