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Finding the Fourth Proportional to 10,157.68, 14,013.66 and 6,379.24

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Solution

The fourth proportional to 10,157.68, 14,013.66 and 6,379.24 is: 8,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.68 : 14,013.66 = 6,379.24 : x
  2. Step 2: Convert to fraction form
    10,157.68/14,013.66 = 6,379.24/x
  3. Step 3: Cross multiply
    10,157.68x = 14,013.66 × 6,379.24
  4. Step 4: Simplify right side
    10,157.68x = 89,396,500.42
  5. Step 5: Solve for x
    x = 89,396,500.42/10,157.68
  6. Step 6: Final answer
    x = 8,800.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.