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Finding the Fourth Proportional to 11,741.21, 17,614.52 and 3,843.98

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Solution

The fourth proportional to 11,741.21, 17,614.52 and 3,843.98 is: 5,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.21 : 17,614.52 = 3,843.98 : x
  2. Step 2: Convert to fraction form
    11,741.21/17,614.52 = 3,843.98/x
  3. Step 3: Cross multiply
    11,741.21x = 17,614.52 × 3,843.98
  4. Step 4: Simplify right side
    11,741.21x = 67,709,843.37
  5. Step 5: Solve for x
    x = 67,709,843.37/11,741.21
  6. Step 6: Final answer
    x = 5,766.85

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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.