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Finding the Fourth Proportional to 8.38, 11.56 and 7.77

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Solution

The fourth proportional to 8.38, 11.56 and 7.77 is: 10.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.38 : 11.56 = 7.77 : x
  2. Step 2: Convert to fraction form
    8.38/11.56 = 7.77/x
  3. Step 3: Cross multiply
    8.38x = 11.56 × 7.77
  4. Step 4: Simplify right side
    8.38x = 89.82
  5. Step 5: Solve for x
    x = 89.82/8.38
  6. Step 6: Final answer
    x = 10.72

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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.