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Finding the Fourth Proportional to 8.74, 12.02 and 7.49

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Solution

The fourth proportional to 8.74, 12.02 and 7.49 is: 10.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.74 : 12.02 = 7.49 : x
  2. Step 2: Convert to fraction form
    8.74/12.02 = 7.49/x
  3. Step 3: Cross multiply
    8.74x = 12.02 × 7.49
  4. Step 4: Simplify right side
    8.74x = 90.02
  5. Step 5: Solve for x
    x = 90.02/8.74
  6. Step 6: Final answer
    x = 10.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.