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Finding the Fourth Proportional to 7,354.66, 10,149.27 and 3,997.44

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Solution

The fourth proportional to 7,354.66, 10,149.27 and 3,997.44 is: 5,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.66 : 10,149.27 = 3,997.44 : x
  2. Step 2: Convert to fraction form
    7,354.66/10,149.27 = 3,997.44/x
  3. Step 3: Cross multiply
    7,354.66x = 10,149.27 × 3,997.44
  4. Step 4: Simplify right side
    7,354.66x = 40,571,097.87
  5. Step 5: Solve for x
    x = 40,571,097.87/7,354.66
  6. Step 6: Final answer
    x = 5,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.