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Finding the Fourth Proportional to 11,912.20, 17,863.98 and 4,512.84

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Solution

The fourth proportional to 11,912.20, 17,863.98 and 4,512.84 is: 6,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.20 : 17,863.98 = 4,512.84 : x
  2. Step 2: Convert to fraction form
    11,912.20/17,863.98 = 4,512.84/x
  3. Step 3: Cross multiply
    11,912.20x = 17,863.98 × 4,512.84
  4. Step 4: Simplify right side
    11,912.20x = 80,617,283.50
  5. Step 5: Solve for x
    x = 80,617,283.50/11,912.20
  6. Step 6: Final answer
    x = 6,767.62

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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.