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Finding the Fourth Proportional to 7,150.65, 10,727.33 and 2,709.65

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Solution

The fourth proportional to 7,150.65, 10,727.33 and 2,709.65 is: 4,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.65 : 10,727.33 = 2,709.65 : x
  2. Step 2: Convert to fraction form
    7,150.65/10,727.33 = 2,709.65/x
  3. Step 3: Cross multiply
    7,150.65x = 10,727.33 × 2,709.65
  4. Step 4: Simplify right side
    7,150.65x = 29,067,309.73
  5. Step 5: Solve for x
    x = 29,067,309.73/7,150.65
  6. Step 6: Final answer
    x = 4,064.99

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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.