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Finding the Fourth Proportional to 8.26, 11.40 and 7.44

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Solution

The fourth proportional to 8.26, 11.40 and 7.44 is: 10.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.26 : 11.40 = 7.44 : x
  2. Step 2: Convert to fraction form
    8.26/11.40 = 7.44/x
  3. Step 3: Cross multiply
    8.26x = 11.40 × 7.44
  4. Step 4: Simplify right side
    8.26x = 84.82
  5. Step 5: Solve for x
    x = 84.82/8.26
  6. Step 6: Final answer
    x = 10.27

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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.