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Finding the Fourth Proportional to 11,760.39, 17,642.61 and 3,967.38

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Solution

The fourth proportional to 11,760.39, 17,642.61 and 3,967.38 is: 5,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.39 : 17,642.61 = 3,967.38 : x
  2. Step 2: Convert to fraction form
    11,760.39/17,642.61 = 3,967.38/x
  3. Step 3: Cross multiply
    11,760.39x = 17,642.61 × 3,967.38
  4. Step 4: Simplify right side
    11,760.39x = 69,994,938.06
  5. Step 5: Solve for x
    x = 69,994,938.06/11,760.39
  6. Step 6: Final answer
    x = 5,951.75

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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.