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Finding the Fourth Proportional to 10,635.90, 15,954.41 and 2,738.49

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Solution

The fourth proportional to 10,635.90, 15,954.41 and 2,738.49 is: 4,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.90 : 15,954.41 = 2,738.49 : x
  2. Step 2: Convert to fraction form
    10,635.90/15,954.41 = 2,738.49/x
  3. Step 3: Cross multiply
    10,635.90x = 15,954.41 × 2,738.49
  4. Step 4: Simplify right side
    10,635.90x = 43,690,992.24
  5. Step 5: Solve for x
    x = 43,690,992.24/10,635.90
  6. Step 6: Final answer
    x = 4,107.88

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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.