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Finding the Fourth Proportional to 11,243.82, 16,866 and 3,848.23

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Solution

The fourth proportional to 11,243.82, 16,866 and 3,848.23 is: 5,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.82 : 16,866 = 3,848.23 : x
  2. Step 2: Convert to fraction form
    11,243.82/16,866 = 3,848.23/x
  3. Step 3: Cross multiply
    11,243.82x = 16,866 × 3,848.23
  4. Step 4: Simplify right side
    11,243.82x = 64,904,205.02
  5. Step 5: Solve for x
    x = 64,904,205.02/11,243.82
  6. Step 6: Final answer
    x = 5,772.43

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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.