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Finding the Fourth Proportional to 8.49, 12.67 and 7.77

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Solution

The fourth proportional to 8.49, 12.67 and 7.77 is: 11.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.49 : 12.67 = 7.77 : x
  2. Step 2: Convert to fraction form
    8.49/12.67 = 7.77/x
  3. Step 3: Cross multiply
    8.49x = 12.67 × 7.77
  4. Step 4: Simplify right side
    8.49x = 98.44
  5. Step 5: Solve for x
    x = 98.44/8.49
  6. Step 6: Final answer
    x = 11.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.