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Finding the Fourth Proportional to 7,832.79, 11,751.90 and 3,449.61

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Solution

The fourth proportional to 7,832.79, 11,751.90 and 3,449.61 is: 5,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.79 : 11,751.90 = 3,449.61 : x
  2. Step 2: Convert to fraction form
    7,832.79/11,751.90 = 3,449.61/x
  3. Step 3: Cross multiply
    7,832.79x = 11,751.90 × 3,449.61
  4. Step 4: Simplify right side
    7,832.79x = 40,539,471.76
  5. Step 5: Solve for x
    x = 40,539,471.76/7,832.79
  6. Step 6: Final answer
    x = 5,175.61

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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.