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Finding the Fourth Proportional to 8,081.76, 12,117.78 and 3,084.47

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Solution

The fourth proportional to 8,081.76, 12,117.78 and 3,084.47 is: 4,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.76 : 12,117.78 = 3,084.47 : x
  2. Step 2: Convert to fraction form
    8,081.76/12,117.78 = 3,084.47/x
  3. Step 3: Cross multiply
    8,081.76x = 12,117.78 × 3,084.47
  4. Step 4: Simplify right side
    8,081.76x = 37,376,913.73
  5. Step 5: Solve for x
    x = 37,376,913.73/8,081.76
  6. Step 6: Final answer
    x = 4,624.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.