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Finding the Fourth Proportional to 8.62, 12.96 and 7.96

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Solution

The fourth proportional to 8.62, 12.96 and 7.96 is: 11.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.62 : 12.96 = 7.96 : x
  2. Step 2: Convert to fraction form
    8.62/12.96 = 7.96/x
  3. Step 3: Cross multiply
    8.62x = 12.96 × 7.96
  4. Step 4: Simplify right side
    8.62x = 103.16
  5. Step 5: Solve for x
    x = 103.16/8.62
  6. Step 6: Final answer
    x = 11.97

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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.