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Finding the Fourth Proportional to 7,354.83, 10,149.76 and 3,997.71

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Solution

The fourth proportional to 7,354.83, 10,149.76 and 3,997.71 is: 5,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.83 : 10,149.76 = 3,997.71 : x
  2. Step 2: Convert to fraction form
    7,354.83/10,149.76 = 3,997.71/x
  3. Step 3: Cross multiply
    7,354.83x = 10,149.76 × 3,997.71
  4. Step 4: Simplify right side
    7,354.83x = 40,575,797.05
  5. Step 5: Solve for x
    x = 40,575,797.05/7,354.83
  6. Step 6: Final answer
    x = 5,516.89

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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.