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Finding the Fourth Proportional to 11,839.57, 17,752.97 and 7,164.86

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Solution

The fourth proportional to 11,839.57, 17,752.97 and 7,164.86 is: 10,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.57 : 17,752.97 = 7,164.86 : x
  2. Step 2: Convert to fraction form
    11,839.57/17,752.97 = 7,164.86/x
  3. Step 3: Cross multiply
    11,839.57x = 17,752.97 × 7,164.86
  4. Step 4: Simplify right side
    11,839.57x = 127,197,473.78
  5. Step 5: Solve for x
    x = 127,197,473.78/11,839.57
  6. Step 6: Final answer
    x = 10,743.42

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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.