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Finding the Fourth Proportional to 10,440.98, 15,658.34 and 5,507.92

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Solution

The fourth proportional to 10,440.98, 15,658.34 and 5,507.92 is: 8,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.98 : 15,658.34 = 5,507.92 : x
  2. Step 2: Convert to fraction form
    10,440.98/15,658.34 = 5,507.92/x
  3. Step 3: Cross multiply
    10,440.98x = 15,658.34 × 5,507.92
  4. Step 4: Simplify right side
    10,440.98x = 86,244,884.05
  5. Step 5: Solve for x
    x = 86,244,884.05/10,440.98
  6. Step 6: Final answer
    x = 8,260.23

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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.