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Finding the Fourth Proportional to 7,129.38, 10,691.01 and 2,449.86

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Solution

The fourth proportional to 7,129.38, 10,691.01 and 2,449.86 is: 3,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.38 : 10,691.01 = 2,449.86 : x
  2. Step 2: Convert to fraction form
    7,129.38/10,691.01 = 2,449.86/x
  3. Step 3: Cross multiply
    7,129.38x = 10,691.01 × 2,449.86
  4. Step 4: Simplify right side
    7,129.38x = 26,191,477.76
  5. Step 5: Solve for x
    x = 26,191,477.76/7,129.38
  6. Step 6: Final answer
    x = 3,673.74

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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.