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Finding the Fourth Proportional to 7,354.75, 10,149.62 and 3,997.57

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Solution

The fourth proportional to 7,354.75, 10,149.62 and 3,997.57 is: 5,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.75 : 10,149.62 = 3,997.57 : x
  2. Step 2: Convert to fraction form
    7,354.75/10,149.62 = 3,997.57/x
  3. Step 3: Cross multiply
    7,354.75x = 10,149.62 × 3,997.57
  4. Step 4: Simplify right side
    7,354.75x = 40,573,781.06
  5. Step 5: Solve for x
    x = 40,573,781.06/7,354.75
  6. Step 6: Final answer
    x = 5,516.68

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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.