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Finding the Fourth Proportional to 11,513.88, 17,268.93 and 3,194.78

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Solution

The fourth proportional to 11,513.88, 17,268.93 and 3,194.78 is: 4,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.88 : 17,268.93 = 3,194.78 : x
  2. Step 2: Convert to fraction form
    11,513.88/17,268.93 = 3,194.78/x
  3. Step 3: Cross multiply
    11,513.88x = 17,268.93 × 3,194.78
  4. Step 4: Simplify right side
    11,513.88x = 55,170,432.19
  5. Step 5: Solve for x
    x = 55,170,432.19/11,513.88
  6. Step 6: Final answer
    x = 4,791.65

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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.