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Finding the Fourth Proportional to 10,843.46, 16,267.49 and 3,823.19

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Solution

The fourth proportional to 10,843.46, 16,267.49 and 3,823.19 is: 5,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.46 : 16,267.49 = 3,823.19 : x
  2. Step 2: Convert to fraction form
    10,843.46/16,267.49 = 3,823.19/x
  3. Step 3: Cross multiply
    10,843.46x = 16,267.49 × 3,823.19
  4. Step 4: Simplify right side
    10,843.46x = 62,193,604.64
  5. Step 5: Solve for x
    x = 62,193,604.64/10,843.46
  6. Step 6: Final answer
    x = 5,735.59

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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.