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Finding the Fourth Proportional to 11,937.75, 17,914.39 and 4,542.27

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Solution

The fourth proportional to 11,937.75, 17,914.39 and 4,542.27 is: 6,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.75 : 17,914.39 = 4,542.27 : x
  2. Step 2: Convert to fraction form
    11,937.75/17,914.39 = 4,542.27/x
  3. Step 3: Cross multiply
    11,937.75x = 17,914.39 × 4,542.27
  4. Step 4: Simplify right side
    11,937.75x = 81,371,918.05
  5. Step 5: Solve for x
    x = 81,371,918.05/11,937.75
  6. Step 6: Final answer
    x = 6,816.36

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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.