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Finding the Fourth Proportional to 8,239.38, 11,370.95 and 5,096.17

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Solution

The fourth proportional to 8,239.38, 11,370.95 and 5,096.17 is: 7,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.38 : 11,370.95 = 5,096.17 : x
  2. Step 2: Convert to fraction form
    8,239.38/11,370.95 = 5,096.17/x
  3. Step 3: Cross multiply
    8,239.38x = 11,370.95 × 5,096.17
  4. Step 4: Simplify right side
    8,239.38x = 57,948,294.26
  5. Step 5: Solve for x
    x = 57,948,294.26/8,239.38
  6. Step 6: Final answer
    x = 7,033.09

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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.