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Finding the Fourth Proportional to 8,568.96, 12,839.20 and 8,244.80

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Solution

The fourth proportional to 8,568.96, 12,839.20 and 8,244.80 is: 12,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.96 : 12,839.20 = 8,244.80 : x
  2. Step 2: Convert to fraction form
    8,568.96/12,839.20 = 8,244.80/x
  3. Step 3: Cross multiply
    8,568.96x = 12,839.20 × 8,244.80
  4. Step 4: Simplify right side
    8,568.96x = 105,856,636.16
  5. Step 5: Solve for x
    x = 105,856,636.16/8,568.96
  6. Step 6: Final answer
    x = 12,353.50

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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.