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Finding the Fourth Proportional to 8,057.54, 12,084.94 and 2,212.78

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Solution

The fourth proportional to 8,057.54, 12,084.94 and 2,212.78 is: 3,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.54 : 12,084.94 = 2,212.78 : x
  2. Step 2: Convert to fraction form
    8,057.54/12,084.94 = 2,212.78/x
  3. Step 3: Cross multiply
    8,057.54x = 12,084.94 × 2,212.78
  4. Step 4: Simplify right side
    8,057.54x = 26,741,313.53
  5. Step 5: Solve for x
    x = 26,741,313.53/8,057.54
  6. Step 6: Final answer
    x = 3,318.79

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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.