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Finding the Fourth Proportional to 8,082.67, 11,141.38 and 7,404.70

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Solution

The fourth proportional to 8,082.67, 11,141.38 and 7,404.70 is: 10,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.67 : 11,141.38 = 7,404.70 : x
  2. Step 2: Convert to fraction form
    8,082.67/11,141.38 = 7,404.70/x
  3. Step 3: Cross multiply
    8,082.67x = 11,141.38 × 7,404.70
  4. Step 4: Simplify right side
    8,082.67x = 82,498,576.49
  5. Step 5: Solve for x
    x = 82,498,576.49/8,082.67
  6. Step 6: Final answer
    x = 10,206.85

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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.