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Finding the Fourth Proportional to 8.92, 12.34 and 7.84

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Solution

The fourth proportional to 8.92, 12.34 and 7.84 is: 10.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.92 : 12.34 = 7.84 : x
  2. Step 2: Convert to fraction form
    8.92/12.34 = 7.84/x
  3. Step 3: Cross multiply
    8.92x = 12.34 × 7.84
  4. Step 4: Simplify right side
    8.92x = 96.75
  5. Step 5: Solve for x
    x = 96.75/8.92
  6. Step 6: Final answer
    x = 10.85

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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.