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Finding the Fourth Proportional to 7.96, 12.01 and 7.38

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Solution

The fourth proportional to 7.96, 12.01 and 7.38 is: 11.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.96 : 12.01 = 7.38 : x
  2. Step 2: Convert to fraction form
    7.96/12.01 = 7.38/x
  3. Step 3: Cross multiply
    7.96x = 12.01 × 7.38
  4. Step 4: Simplify right side
    7.96x = 88.63
  5. Step 5: Solve for x
    x = 88.63/7.96
  6. Step 6: Final answer
    x = 11.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.