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Finding the Fourth Proportional to 10,144.56, 15,205.92 and 6,633.24

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Solution

The fourth proportional to 10,144.56, 15,205.92 and 6,633.24 is: 9,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.56 : 15,205.92 = 6,633.24 : x
  2. Step 2: Convert to fraction form
    10,144.56/15,205.92 = 6,633.24/x
  3. Step 3: Cross multiply
    10,144.56x = 15,205.92 × 6,633.24
  4. Step 4: Simplify right side
    10,144.56x = 100,864,516.78
  5. Step 5: Solve for x
    x = 100,864,516.78/10,144.56
  6. Step 6: Final answer
    x = 9,942.72

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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.