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Finding the Fourth Proportional to 8.41, 12.63 and 5.41

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Solution

The fourth proportional to 8.41, 12.63 and 5.41 is: 8.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.41 : 12.63 = 5.41 : x
  2. Step 2: Convert to fraction form
    8.41/12.63 = 5.41/x
  3. Step 3: Cross multiply
    8.41x = 12.63 × 5.41
  4. Step 4: Simplify right side
    8.41x = 68.33
  5. Step 5: Solve for x
    x = 68.33/8.41
  6. Step 6: Final answer
    x = 8.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.