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Finding the Fourth Proportional to 10,806.16, 16,195.42 and 8,335.82

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Solution

The fourth proportional to 10,806.16, 16,195.42 and 8,335.82 is: 12,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.16 : 16,195.42 = 8,335.82 : x
  2. Step 2: Convert to fraction form
    10,806.16/16,195.42 = 8,335.82/x
  3. Step 3: Cross multiply
    10,806.16x = 16,195.42 × 8,335.82
  4. Step 4: Simplify right side
    10,806.16x = 135,002,105.94
  5. Step 5: Solve for x
    x = 135,002,105.94/10,806.16
  6. Step 6: Final answer
    x = 12,493.07

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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.