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Finding the Fourth Proportional to 8.62, 11.86 and 7.41

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Solution

The fourth proportional to 8.62, 11.86 and 7.41 is: 10.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.62 : 11.86 = 7.41 : x
  2. Step 2: Convert to fraction form
    8.62/11.86 = 7.41/x
  3. Step 3: Cross multiply
    8.62x = 11.86 × 7.41
  4. Step 4: Simplify right side
    8.62x = 87.88
  5. Step 5: Solve for x
    x = 87.88/8.62
  6. Step 6: Final answer
    x = 10.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.