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Finding the Fourth Proportional to 7,249.50, 10,004.24 and 4,105.69

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Solution

The fourth proportional to 7,249.50, 10,004.24 and 4,105.69 is: 5,665.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.50 : 10,004.24 = 4,105.69 : x
  2. Step 2: Convert to fraction form
    7,249.50/10,004.24 = 4,105.69/x
  3. Step 3: Cross multiply
    7,249.50x = 10,004.24 × 4,105.69
  4. Step 4: Simplify right side
    7,249.50x = 41,074,293.38
  5. Step 5: Solve for x
    x = 41,074,293.38/7,249.50
  6. Step 6: Final answer
    x = 5,665.81

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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.