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Finding the Fourth Proportional to 11,542.89, 17,314.08 and 3,751.70

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Solution

The fourth proportional to 11,542.89, 17,314.08 and 3,751.70 is: 5,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.89 : 17,314.08 = 3,751.70 : x
  2. Step 2: Convert to fraction form
    11,542.89/17,314.08 = 3,751.70/x
  3. Step 3: Cross multiply
    11,542.89x = 17,314.08 × 3,751.70
  4. Step 4: Simplify right side
    11,542.89x = 64,957,147.37
  5. Step 5: Solve for x
    x = 64,957,147.37/11,542.89
  6. Step 6: Final answer
    x = 5,627.46

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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.