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Finding the Fourth Proportional to 10,819.16, 16,206.02 and 6,868.38

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Solution

The fourth proportional to 10,819.16, 16,206.02 and 6,868.38 is: 10,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.16 : 16,206.02 = 6,868.38 : x
  2. Step 2: Convert to fraction form
    10,819.16/16,206.02 = 6,868.38/x
  3. Step 3: Cross multiply
    10,819.16x = 16,206.02 × 6,868.38
  4. Step 4: Simplify right side
    10,819.16x = 111,309,103.65
  5. Step 5: Solve for x
    x = 111,309,103.65/10,819.16
  6. Step 6: Final answer
    x = 10,288.15

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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.