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Finding the Fourth Proportional to 8,081.54, 11,138.82 and 6,166.70

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Solution

The fourth proportional to 8,081.54, 11,138.82 and 6,166.70 is: 8,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.54 : 11,138.82 = 6,166.70 : x
  2. Step 2: Convert to fraction form
    8,081.54/11,138.82 = 6,166.70/x
  3. Step 3: Cross multiply
    8,081.54x = 11,138.82 × 6,166.70
  4. Step 4: Simplify right side
    8,081.54x = 68,689,761.29
  5. Step 5: Solve for x
    x = 68,689,761.29/8,081.54
  6. Step 6: Final answer
    x = 8,499.59

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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.