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Finding the Fourth Proportional to 7,131.68, 10,686.24 and 5,174.72

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Solution

The fourth proportional to 7,131.68, 10,686.24 and 5,174.72 is: 7,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.68 : 10,686.24 = 5,174.72 : x
  2. Step 2: Convert to fraction form
    7,131.68/10,686.24 = 5,174.72/x
  3. Step 3: Cross multiply
    7,131.68x = 10,686.24 × 5,174.72
  4. Step 4: Simplify right side
    7,131.68x = 55,298,299.85
  5. Step 5: Solve for x
    x = 55,298,299.85/7,131.68
  6. Step 6: Final answer
    x = 7,753.90

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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.