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Finding the Fourth Proportional to 7.96, 11.04 and 7.82

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Solution

The fourth proportional to 7.96, 11.04 and 7.82 is: 10.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.96 : 11.04 = 7.82 : x
  2. Step 2: Convert to fraction form
    7.96/11.04 = 7.82/x
  3. Step 3: Cross multiply
    7.96x = 11.04 × 7.82
  4. Step 4: Simplify right side
    7.96x = 86.33
  5. Step 5: Solve for x
    x = 86.33/7.96
  6. Step 6: Final answer
    x = 10.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.