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Finding the Fourth Proportional to 7,472.38, 10,311.28 and 4,328.78

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Solution

The fourth proportional to 7,472.38, 10,311.28 and 4,328.78 is: 5,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.38 : 10,311.28 = 4,328.78 : x
  2. Step 2: Convert to fraction form
    7,472.38/10,311.28 = 4,328.78/x
  3. Step 3: Cross multiply
    7,472.38x = 10,311.28 × 4,328.78
  4. Step 4: Simplify right side
    7,472.38x = 44,635,262.64
  5. Step 5: Solve for x
    x = 44,635,262.64/7,472.38
  6. Step 6: Final answer
    x = 5,973.37

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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.