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Finding the Fourth Proportional to 11,251.98, 16,855.02 and 6,806.88

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Solution

The fourth proportional to 11,251.98, 16,855.02 and 6,806.88 is: 10,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.98 : 16,855.02 = 6,806.88 : x
  2. Step 2: Convert to fraction form
    11,251.98/16,855.02 = 6,806.88/x
  3. Step 3: Cross multiply
    11,251.98x = 16,855.02 × 6,806.88
  4. Step 4: Simplify right side
    11,251.98x = 114,730,098.54
  5. Step 5: Solve for x
    x = 114,730,098.54/11,251.98
  6. Step 6: Final answer
    x = 10,196.44

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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.