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Finding the Fourth Proportional to 7,832.57, 11,739.13 and 3,938.09

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Solution

The fourth proportional to 7,832.57, 11,739.13 and 3,938.09 is: 5,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.57 : 11,739.13 = 3,938.09 : x
  2. Step 2: Convert to fraction form
    7,832.57/11,739.13 = 3,938.09/x
  3. Step 3: Cross multiply
    7,832.57x = 11,739.13 × 3,938.09
  4. Step 4: Simplify right side
    7,832.57x = 46,229,681.92
  5. Step 5: Solve for x
    x = 46,229,681.92/7,832.57
  6. Step 6: Final answer
    x = 5,902.24

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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.