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Finding the Fourth Proportional to 10,694.25, 16,036.79 and 3,674.97

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Solution

The fourth proportional to 10,694.25, 16,036.79 and 3,674.97 is: 5,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.25 : 16,036.79 = 3,674.97 : x
  2. Step 2: Convert to fraction form
    10,694.25/16,036.79 = 3,674.97/x
  3. Step 3: Cross multiply
    10,694.25x = 16,036.79 × 3,674.97
  4. Step 4: Simplify right side
    10,694.25x = 58,934,722.15
  5. Step 5: Solve for x
    x = 58,934,722.15/10,694.25
  6. Step 6: Final answer
    x = 5,510.88

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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.