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Finding the Fourth Proportional to 8.44, 11.62 and 7.40

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Solution

The fourth proportional to 8.44, 11.62 and 7.40 is: 10.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.44 : 11.62 = 7.40 : x
  2. Step 2: Convert to fraction form
    8.44/11.62 = 7.40/x
  3. Step 3: Cross multiply
    8.44x = 11.62 × 7.40
  4. Step 4: Simplify right side
    8.44x = 85.99
  5. Step 5: Solve for x
    x = 85.99/8.44
  6. Step 6: Final answer
    x = 10.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.