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Finding the Fourth Proportional to 8.36, 11.52 and 6.74

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Solution

The fourth proportional to 8.36, 11.52 and 6.74 is: 9.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.36 : 11.52 = 6.74 : x
  2. Step 2: Convert to fraction form
    8.36/11.52 = 6.74/x
  3. Step 3: Cross multiply
    8.36x = 11.52 × 6.74
  4. Step 4: Simplify right side
    8.36x = 77.59
  5. Step 5: Solve for x
    x = 77.59/8.36
  6. Step 6: Final answer
    x = 9.29

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