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Finding the Fourth Proportional to 12.61, 17.40 and 7.76

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Solution

The fourth proportional to 12.61, 17.40 and 7.76 is: 10.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.61 : 17.40 = 7.76 : x
  2. Step 2: Convert to fraction form
    12.61/17.40 = 7.76/x
  3. Step 3: Cross multiply
    12.61x = 17.40 × 7.76
  4. Step 4: Simplify right side
    12.61x = 135.10
  5. Step 5: Solve for x
    x = 135.10/12.61
  6. Step 6: Final answer
    x = 10.71

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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.