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Finding the Fourth Proportional to 10,857.75, 16,291.73 and 3,843.05

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Solution

The fourth proportional to 10,857.75, 16,291.73 and 3,843.05 is: 5,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.75 : 16,291.73 = 3,843.05 : x
  2. Step 2: Convert to fraction form
    10,857.75/16,291.73 = 3,843.05/x
  3. Step 3: Cross multiply
    10,857.75x = 16,291.73 × 3,843.05
  4. Step 4: Simplify right side
    10,857.75x = 62,609,861.13
  5. Step 5: Solve for x
    x = 62,609,861.13/10,857.75
  6. Step 6: Final answer
    x = 5,766.38

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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.