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Finding the Fourth Proportional to 7,472.33, 10,311.81 and 4,115.13

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Solution

The fourth proportional to 7,472.33, 10,311.81 and 4,115.13 is: 5,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.33 : 10,311.81 = 4,115.13 : x
  2. Step 2: Convert to fraction form
    7,472.33/10,311.81 = 4,115.13/x
  3. Step 3: Cross multiply
    7,472.33x = 10,311.81 × 4,115.13
  4. Step 4: Simplify right side
    7,472.33x = 42,434,438.69
  5. Step 5: Solve for x
    x = 42,434,438.69/7,472.33
  6. Step 6: Final answer
    x = 5,678.88

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