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Finding the Fourth Proportional to 10,234.64, 15,340.44 and 5,044.16

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Solution

The fourth proportional to 10,234.64, 15,340.44 and 5,044.16 is: 7,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.64 : 15,340.44 = 5,044.16 : x
  2. Step 2: Convert to fraction form
    10,234.64/15,340.44 = 5,044.16/x
  3. Step 3: Cross multiply
    10,234.64x = 15,340.44 × 5,044.16
  4. Step 4: Simplify right side
    10,234.64x = 77,379,633.83
  5. Step 5: Solve for x
    x = 77,379,633.83/10,234.64
  6. Step 6: Final answer
    x = 7,560.56

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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.