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Finding the Fourth Proportional to 11,513.80, 17,270.75 and 3,194.47

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Solution

The fourth proportional to 11,513.80, 17,270.75 and 3,194.47 is: 4,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.80 : 17,270.75 = 3,194.47 : x
  2. Step 2: Convert to fraction form
    11,513.80/17,270.75 = 3,194.47/x
  3. Step 3: Cross multiply
    11,513.80x = 17,270.75 × 3,194.47
  4. Step 4: Simplify right side
    11,513.80x = 55,170,892.75
  5. Step 5: Solve for x
    x = 55,170,892.75/11,513.80
  6. Step 6: Final answer
    x = 4,791.72

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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.