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Finding the Fourth Proportional to 7,354.86, 10,149.69 and 3,997.66

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Solution

The fourth proportional to 7,354.86, 10,149.69 and 3,997.66 is: 5,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.86 : 10,149.69 = 3,997.66 : x
  2. Step 2: Convert to fraction form
    7,354.86/10,149.69 = 3,997.66/x
  3. Step 3: Cross multiply
    7,354.86x = 10,149.69 × 3,997.66
  4. Step 4: Simplify right side
    7,354.86x = 40,575,009.73
  5. Step 5: Solve for x
    x = 40,575,009.73/7,354.86
  6. Step 6: Final answer
    x = 5,516.76

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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.