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Finding the Fourth Proportional to 25.74, 38.62 and 8.63

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Solution

The fourth proportional to 25.74, 38.62 and 8.63 is: 12.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.74 : 38.62 = 8.63 : x
  2. Step 2: Convert to fraction form
    25.74/38.62 = 8.63/x
  3. Step 3: Cross multiply
    25.74x = 38.62 × 8.63
  4. Step 4: Simplify right side
    25.74x = 333.11
  5. Step 5: Solve for x
    x = 333.11/25.74
  6. Step 6: Final answer
    x = 12.94

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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.