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Finding the Fourth Proportional to 11,806.76, 16,311.23 and 8,817.44

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Solution

The fourth proportional to 11,806.76, 16,311.23 and 8,817.44 is: 12,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.76 : 16,311.23 = 8,817.44 : x
  2. Step 2: Convert to fraction form
    11,806.76/16,311.23 = 8,817.44/x
  3. Step 3: Cross multiply
    11,806.76x = 16,311.23 × 8,817.44
  4. Step 4: Simplify right side
    11,806.76x = 143,823,166.21
  5. Step 5: Solve for x
    x = 143,823,166.21/11,806.76
  6. Step 6: Final answer
    x = 12,181.43

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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.