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Finding the Fourth Proportional to 10,806.14, 16,198.08 and 7,837.16

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Solution

The fourth proportional to 10,806.14, 16,198.08 and 7,837.16 is: 11,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.14 : 16,198.08 = 7,837.16 : x
  2. Step 2: Convert to fraction form
    10,806.14/16,198.08 = 7,837.16/x
  3. Step 3: Cross multiply
    10,806.14x = 16,198.08 × 7,837.16
  4. Step 4: Simplify right side
    10,806.14x = 126,946,834.27
  5. Step 5: Solve for x
    x = 126,946,834.27/10,806.14
  6. Step 6: Final answer
    x = 11,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.