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Finding the Fourth Proportional to 8.41, 11.64 and 7.78

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Solution

The fourth proportional to 8.41, 11.64 and 7.78 is: 10.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.41 : 11.64 = 7.78 : x
  2. Step 2: Convert to fraction form
    8.41/11.64 = 7.78/x
  3. Step 3: Cross multiply
    8.41x = 11.64 × 7.78
  4. Step 4: Simplify right side
    8.41x = 90.56
  5. Step 5: Solve for x
    x = 90.56/8.41
  6. Step 6: Final answer
    x = 10.77

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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.