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Finding the Fourth Proportional to 8,103.38, 11,182.67 and 4,377.38

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Solution

The fourth proportional to 8,103.38, 11,182.67 and 4,377.38 is: 6,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.38 : 11,182.67 = 4,377.38 : x
  2. Step 2: Convert to fraction form
    8,103.38/11,182.67 = 4,377.38/x
  3. Step 3: Cross multiply
    8,103.38x = 11,182.67 × 4,377.38
  4. Step 4: Simplify right side
    8,103.38x = 48,950,718.20
  5. Step 5: Solve for x
    x = 48,950,718.20/8,103.38
  6. Step 6: Final answer
    x = 6,040.78

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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.