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Finding the Fourth Proportional to 7,694.65, 11,542.05 and 2,429.56

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Solution

The fourth proportional to 7,694.65, 11,542.05 and 2,429.56 is: 3,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.65 : 11,542.05 = 2,429.56 : x
  2. Step 2: Convert to fraction form
    7,694.65/11,542.05 = 2,429.56/x
  3. Step 3: Cross multiply
    7,694.65x = 11,542.05 × 2,429.56
  4. Step 4: Simplify right side
    7,694.65x = 28,042,074.14
  5. Step 5: Solve for x
    x = 28,042,074.14/7,694.65
  6. Step 6: Final answer
    x = 3,644.36

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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.