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Finding the Fourth Proportional to 7,491.38, 10,337.63 and 4,134.23

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Solution

The fourth proportional to 7,491.38, 10,337.63 and 4,134.23 is: 5,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.38 : 10,337.63 = 4,134.23 : x
  2. Step 2: Convert to fraction form
    7,491.38/10,337.63 = 4,134.23/x
  3. Step 3: Cross multiply
    7,491.38x = 10,337.63 × 4,134.23
  4. Step 4: Simplify right side
    7,491.38x = 42,738,067.72
  5. Step 5: Solve for x
    x = 42,738,067.72/7,491.38
  6. Step 6: Final answer
    x = 5,704.97

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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.