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Finding the Fourth Proportional to 6,832.65, 10,232.55 and 3,902.07

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Solution

The fourth proportional to 6,832.65, 10,232.55 and 3,902.07 is: 5,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.65 : 10,232.55 = 3,902.07 : x
  2. Step 2: Convert to fraction form
    6,832.65/10,232.55 = 3,902.07/x
  3. Step 3: Cross multiply
    6,832.65x = 10,232.55 × 3,902.07
  4. Step 4: Simplify right side
    6,832.65x = 39,928,126.38
  5. Step 5: Solve for x
    x = 39,928,126.38/6,832.65
  6. Step 6: Final answer
    x = 5,843.72

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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.