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Finding the Fourth Proportional to 7,354.53, 10,149.05 and 3,997.23

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Solution

The fourth proportional to 7,354.53, 10,149.05 and 3,997.23 is: 5,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.53 : 10,149.05 = 3,997.23 : x
  2. Step 2: Convert to fraction form
    7,354.53/10,149.05 = 3,997.23/x
  3. Step 3: Cross multiply
    7,354.53x = 10,149.05 × 3,997.23
  4. Step 4: Simplify right side
    7,354.53x = 40,568,067.15
  5. Step 5: Solve for x
    x = 40,568,067.15/7,354.53
  6. Step 6: Final answer
    x = 5,516.07

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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.