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Finding the Fourth Proportional to 8,311.73, 11,464.31 and 4,951.95

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Solution

The fourth proportional to 8,311.73, 11,464.31 and 4,951.95 is: 6,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.73 : 11,464.31 = 4,951.95 : x
  2. Step 2: Convert to fraction form
    8,311.73/11,464.31 = 4,951.95/x
  3. Step 3: Cross multiply
    8,311.73x = 11,464.31 × 4,951.95
  4. Step 4: Simplify right side
    8,311.73x = 56,770,680.79
  5. Step 5: Solve for x
    x = 56,770,680.79/8,311.73
  6. Step 6: Final answer
    x = 6,830.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.