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Finding the Fourth Proportional to 8.13, 11.24 and 7.12

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Solution

The fourth proportional to 8.13, 11.24 and 7.12 is: 9.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.13 : 11.24 = 7.12 : x
  2. Step 2: Convert to fraction form
    8.13/11.24 = 7.12/x
  3. Step 3: Cross multiply
    8.13x = 11.24 × 7.12
  4. Step 4: Simplify right side
    8.13x = 79.97
  5. Step 5: Solve for x
    x = 79.97/8.13
  6. Step 6: Final answer
    x = 9.84

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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.