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Finding the Fourth Proportional to 8.73, 12.00 and 7.71

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Solution

The fourth proportional to 8.73, 12.00 and 7.71 is: 10.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.73 : 12.00 = 7.71 : x
  2. Step 2: Convert to fraction form
    8.73/12.00 = 7.71/x
  3. Step 3: Cross multiply
    8.73x = 12.00 × 7.71
  4. Step 4: Simplify right side
    8.73x = 92.48
  5. Step 5: Solve for x
    x = 92.48/8.73
  6. Step 6: Final answer
    x = 10.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.