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Finding the Fourth Proportional to 12,288.62, 16,951.83 and 8,311.07

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Solution

The fourth proportional to 12,288.62, 16,951.83 and 8,311.07 is: 11,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.62 : 16,951.83 = 8,311.07 : x
  2. Step 2: Convert to fraction form
    12,288.62/16,951.83 = 8,311.07/x
  3. Step 3: Cross multiply
    12,288.62x = 16,951.83 × 8,311.07
  4. Step 4: Simplify right side
    12,288.62x = 140,887,845.76
  5. Step 5: Solve for x
    x = 140,887,845.76/12,288.62
  6. Step 6: Final answer
    x = 11,464.90

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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.