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Finding the Fourth Proportional to 10,806.67, 16,209.46 and 4,234.06

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Solution

The fourth proportional to 10,806.67, 16,209.46 and 4,234.06 is: 6,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.67 : 16,209.46 = 4,234.06 : x
  2. Step 2: Convert to fraction form
    10,806.67/16,209.46 = 4,234.06/x
  3. Step 3: Cross multiply
    10,806.67x = 16,209.46 × 4,234.06
  4. Step 4: Simplify right side
    10,806.67x = 68,631,826.21
  5. Step 5: Solve for x
    x = 68,631,826.21/10,806.67
  6. Step 6: Final answer
    x = 6,350.88

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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.