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Finding the Fourth Proportional to 10,806.91, 16,204.13 and 4,229.50

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Solution

The fourth proportional to 10,806.91, 16,204.13 and 4,229.50 is: 6,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.91 : 16,204.13 = 4,229.50 : x
  2. Step 2: Convert to fraction form
    10,806.91/16,204.13 = 4,229.50/x
  3. Step 3: Cross multiply
    10,806.91x = 16,204.13 × 4,229.50
  4. Step 4: Simplify right side
    10,806.91x = 68,535,367.84
  5. Step 5: Solve for x
    x = 68,535,367.84/10,806.91
  6. Step 6: Final answer
    x = 6,341.81

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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.