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Finding the Fourth Proportional to 8.53, 12.74 and 7.38

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Solution

The fourth proportional to 8.53, 12.74 and 7.38 is: 11.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.53 : 12.74 = 7.38 : x
  2. Step 2: Convert to fraction form
    8.53/12.74 = 7.38/x
  3. Step 3: Cross multiply
    8.53x = 12.74 × 7.38
  4. Step 4: Simplify right side
    8.53x = 94.01
  5. Step 5: Solve for x
    x = 94.01/8.53
  6. Step 6: Final answer
    x = 11.02

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Why These Related Problems?

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