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Finding the Fourth Proportional to 8.36, 12.48 and 7.65

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Solution

The fourth proportional to 8.36, 12.48 and 7.65 is: 11.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.36 : 12.48 = 7.65 : x
  2. Step 2: Convert to fraction form
    8.36/12.48 = 7.65/x
  3. Step 3: Cross multiply
    8.36x = 12.48 × 7.65
  4. Step 4: Simplify right side
    8.36x = 95.47
  5. Step 5: Solve for x
    x = 95.47/8.36
  6. Step 6: Final answer
    x = 11.43

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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.