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Finding the Fourth Proportional to 8,517.46, 12,771.87 and 3,896.50

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Solution

The fourth proportional to 8,517.46, 12,771.87 and 3,896.50 is: 5,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.46 : 12,771.87 = 3,896.50 : x
  2. Step 2: Convert to fraction form
    8,517.46/12,771.87 = 3,896.50/x
  3. Step 3: Cross multiply
    8,517.46x = 12,771.87 × 3,896.50
  4. Step 4: Simplify right side
    8,517.46x = 49,765,591.46
  5. Step 5: Solve for x
    x = 49,765,591.46/8,517.46
  6. Step 6: Final answer
    x = 5,842.77

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Why These Related Problems?

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