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Finding the Fourth Proportional to 8.72, 13.05 and 7.11

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Solution

The fourth proportional to 8.72, 13.05 and 7.11 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.72 : 13.05 = 7.11 : x
  2. Step 2: Convert to fraction form
    8.72/13.05 = 7.11/x
  3. Step 3: Cross multiply
    8.72x = 13.05 × 7.11
  4. Step 4: Simplify right side
    8.72x = 92.79
  5. Step 5: Solve for x
    x = 92.79/8.72
  6. Step 6: Final answer
    x = 10.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.