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Finding the Fourth Proportional to 11,967.98, 17,951.97 and 5,726.52

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Solution

The fourth proportional to 11,967.98, 17,951.97 and 5,726.52 is: 8,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.98 : 17,951.97 = 5,726.52 : x
  2. Step 2: Convert to fraction form
    11,967.98/17,951.97 = 5,726.52/x
  3. Step 3: Cross multiply
    11,967.98x = 17,951.97 × 5,726.52
  4. Step 4: Simplify right side
    11,967.98x = 102,802,315.24
  5. Step 5: Solve for x
    x = 102,802,315.24/11,967.98
  6. Step 6: Final answer
    x = 8,589.78

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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.