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Finding the Fourth Proportional to 11,750.38, 17,625.56 and 3,542.38

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Solution

The fourth proportional to 11,750.38, 17,625.56 and 3,542.38 is: 5,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.38 : 17,625.56 = 3,542.38 : x
  2. Step 2: Convert to fraction form
    11,750.38/17,625.56 = 3,542.38/x
  3. Step 3: Cross multiply
    11,750.38x = 17,625.56 × 3,542.38
  4. Step 4: Simplify right side
    11,750.38x = 62,436,351.96
  5. Step 5: Solve for x
    x = 62,436,351.96/11,750.38
  6. Step 6: Final answer
    x = 5,313.56

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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.