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Finding the Fourth Proportional to 8,140.82, 11,234.40 and 4,414.82

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Solution

The fourth proportional to 8,140.82, 11,234.40 and 4,414.82 is: 6,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.82 : 11,234.40 = 4,414.82 : x
  2. Step 2: Convert to fraction form
    8,140.82/11,234.40 = 4,414.82/x
  3. Step 3: Cross multiply
    8,140.82x = 11,234.40 × 4,414.82
  4. Step 4: Simplify right side
    8,140.82x = 49,597,853.81
  5. Step 5: Solve for x
    x = 49,597,853.81/8,140.82
  6. Step 6: Final answer
    x = 6,092.49

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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.