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Finding the Fourth Proportional to 11,998.33, 17,998.00 and 3,678.41

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Solution

The fourth proportional to 11,998.33, 17,998.00 and 3,678.41 is: 5,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.33 : 17,998.00 = 3,678.41 : x
  2. Step 2: Convert to fraction form
    11,998.33/17,998.00 = 3,678.41/x
  3. Step 3: Cross multiply
    11,998.33x = 17,998.00 × 3,678.41
  4. Step 4: Simplify right side
    11,998.33x = 66,204,058.98
  5. Step 5: Solve for x
    x = 66,204,058.98/11,998.33
  6. Step 6: Final answer
    x = 5,517.77

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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.