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Finding the Fourth Proportional to 8, 11.94 and 7.24

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Solution

The fourth proportional to 8, 11.94 and 7.24 is: 10.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 11.94 = 7.24 : x
  2. Step 2: Convert to fraction form
    8/11.94 = 7.24/x
  3. Step 3: Cross multiply
    8x = 11.94 × 7.24
  4. Step 4: Simplify right side
    8x = 86.45
  5. Step 5: Solve for x
    x = 86.45/8
  6. Step 6: Final answer
    x = 10.81

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