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Finding the Fourth Proportional to 8,311.92, 11,472.83 and 4,912.08

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Solution

The fourth proportional to 8,311.92, 11,472.83 and 4,912.08 is: 6,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.92 : 11,472.83 = 4,912.08 : x
  2. Step 2: Convert to fraction form
    8,311.92/11,472.83 = 4,912.08/x
  3. Step 3: Cross multiply
    8,311.92x = 11,472.83 × 4,912.08
  4. Step 4: Simplify right side
    8,311.92x = 56,355,458.79
  5. Step 5: Solve for x
    x = 56,355,458.79/8,311.92
  6. Step 6: Final answer
    x = 6,780.08

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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.