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Finding the Fourth Proportional to 10,975.17, 16,453.04 and 8,198.49

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Solution

The fourth proportional to 10,975.17, 16,453.04 and 8,198.49 is: 12,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.17 : 16,453.04 = 8,198.49 : x
  2. Step 2: Convert to fraction form
    10,975.17/16,453.04 = 8,198.49/x
  3. Step 3: Cross multiply
    10,975.17x = 16,453.04 × 8,198.49
  4. Step 4: Simplify right side
    10,975.17x = 134,890,042.92
  5. Step 5: Solve for x
    x = 134,890,042.92/10,975.17
  6. Step 6: Final answer
    x = 12,290.47

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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.