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Finding the Fourth Proportional to 7.25, 10 and 5.88

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Solution

The fourth proportional to 7.25, 10 and 5.88 is: 8.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.25 : 10 = 5.88 : x
  2. Step 2: Convert to fraction form
    7.25/10 = 5.88/x
  3. Step 3: Cross multiply
    7.25x = 10 × 5.88
  4. Step 4: Simplify right side
    7.25x = 58.80
  5. Step 5: Solve for x
    x = 58.80/7.25
  6. Step 6: Final answer
    x = 8.11

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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.