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Finding the Fourth Proportional to 10,589.70, 15,882.12 and 3,194.13

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Solution

The fourth proportional to 10,589.70, 15,882.12 and 3,194.13 is: 4,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.70 : 15,882.12 = 3,194.13 : x
  2. Step 2: Convert to fraction form
    10,589.70/15,882.12 = 3,194.13/x
  3. Step 3: Cross multiply
    10,589.70x = 15,882.12 × 3,194.13
  4. Step 4: Simplify right side
    10,589.70x = 50,729,555.96
  5. Step 5: Solve for x
    x = 50,729,555.96/10,589.70
  6. Step 6: Final answer
    x = 4,790.46

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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.