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Finding the Fourth Proportional to 10,834.56, 16,251.03 and 3,909.06

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Solution

The fourth proportional to 10,834.56, 16,251.03 and 3,909.06 is: 5,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.56 : 16,251.03 = 3,909.06 : x
  2. Step 2: Convert to fraction form
    10,834.56/16,251.03 = 3,909.06/x
  3. Step 3: Cross multiply
    10,834.56x = 16,251.03 × 3,909.06
  4. Step 4: Simplify right side
    10,834.56x = 63,526,251.33
  5. Step 5: Solve for x
    x = 63,526,251.33/10,834.56
  6. Step 6: Final answer
    x = 5,863.30

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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.