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Finding the Fourth Proportional to 8,281.38, 11,426.04 and 5,760.66

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Solution

The fourth proportional to 8,281.38, 11,426.04 and 5,760.66 is: 7,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.38 : 11,426.04 = 5,760.66 : x
  2. Step 2: Convert to fraction form
    8,281.38/11,426.04 = 5,760.66/x
  3. Step 3: Cross multiply
    8,281.38x = 11,426.04 × 5,760.66
  4. Step 4: Simplify right side
    8,281.38x = 65,821,531.59
  5. Step 5: Solve for x
    x = 65,821,531.59/8,281.38
  6. Step 6: Final answer
    x = 7,948.14

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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.