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Finding the Fourth Proportional to 8,512.12, 12,743.88 and 6,568.12

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Solution

The fourth proportional to 8,512.12, 12,743.88 and 6,568.12 is: 9,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.12 : 12,743.88 = 6,568.12 : x
  2. Step 2: Convert to fraction form
    8,512.12/12,743.88 = 6,568.12/x
  3. Step 3: Cross multiply
    8,512.12x = 12,743.88 × 6,568.12
  4. Step 4: Simplify right side
    8,512.12x = 83,703,333.11
  5. Step 5: Solve for x
    x = 83,703,333.11/8,512.12
  6. Step 6: Final answer
    x = 9,833.43

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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.