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Finding the Fourth Proportional to 10,253.64, 15,380.48 and 3,234.31

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Solution

The fourth proportional to 10,253.64, 15,380.48 and 3,234.31 is: 4,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.64 : 15,380.48 = 3,234.31 : x
  2. Step 2: Convert to fraction form
    10,253.64/15,380.48 = 3,234.31/x
  3. Step 3: Cross multiply
    10,253.64x = 15,380.48 × 3,234.31
  4. Step 4: Simplify right side
    10,253.64x = 49,745,240.27
  5. Step 5: Solve for x
    x = 49,745,240.27/10,253.64
  6. Step 6: Final answer
    x = 4,851.47

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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.