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Finding the Fourth Proportional to 7,520.38, 10,377.83 and 4,163.13

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Solution

The fourth proportional to 7,520.38, 10,377.83 and 4,163.13 is: 5,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.38 : 10,377.83 = 4,163.13 : x
  2. Step 2: Convert to fraction form
    7,520.38/10,377.83 = 4,163.13/x
  3. Step 3: Cross multiply
    7,520.38x = 10,377.83 × 4,163.13
  4. Step 4: Simplify right side
    7,520.38x = 43,204,265.82
  5. Step 5: Solve for x
    x = 43,204,265.82/7,520.38
  6. Step 6: Final answer
    x = 5,744.96

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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.