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Finding the Fourth Proportional to 11,951.67, 17,934.72 and 4,165.95

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Solution

The fourth proportional to 11,951.67, 17,934.72 and 4,165.95 is: 6,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.67 : 17,934.72 = 4,165.95 : x
  2. Step 2: Convert to fraction form
    11,951.67/17,934.72 = 4,165.95/x
  3. Step 3: Cross multiply
    11,951.67x = 17,934.72 × 4,165.95
  4. Step 4: Simplify right side
    11,951.67x = 74,715,146.78
  5. Step 5: Solve for x
    x = 74,715,146.78/11,951.67
  6. Step 6: Final answer
    x = 6,251.44

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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.