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Finding the Fourth Proportional to 10,836.86, 16,255.20 and 3,441.87

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Solution

The fourth proportional to 10,836.86, 16,255.20 and 3,441.87 is: 5,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.86 : 16,255.20 = 3,441.87 : x
  2. Step 2: Convert to fraction form
    10,836.86/16,255.20 = 3,441.87/x
  3. Step 3: Cross multiply
    10,836.86x = 16,255.20 × 3,441.87
  4. Step 4: Simplify right side
    10,836.86x = 55,948,285.22
  5. Step 5: Solve for x
    x = 55,948,285.22/10,836.86
  6. Step 6: Final answer
    x = 5,162.78

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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.