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Finding the Fourth Proportional to 10,996.98, 16,474.20 and 6,838.65

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Solution

The fourth proportional to 10,996.98, 16,474.20 and 6,838.65 is: 10,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.98 : 16,474.20 = 6,838.65 : x
  2. Step 2: Convert to fraction form
    10,996.98/16,474.20 = 6,838.65/x
  3. Step 3: Cross multiply
    10,996.98x = 16,474.20 × 6,838.65
  4. Step 4: Simplify right side
    10,996.98x = 112,661,287.83
  5. Step 5: Solve for x
    x = 112,661,287.83/10,996.98
  6. Step 6: Final answer
    x = 10,244.75

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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.