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Finding the Fourth Proportional to 7,803.41, 11,704.25 and 1,960.04

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Solution

The fourth proportional to 7,803.41, 11,704.25 and 1,960.04 is: 2,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.41 : 11,704.25 = 1,960.04 : x
  2. Step 2: Convert to fraction form
    7,803.41/11,704.25 = 1,960.04/x
  3. Step 3: Cross multiply
    7,803.41x = 11,704.25 × 1,960.04
  4. Step 4: Simplify right side
    7,803.41x = 22,940,729.85
  5. Step 5: Solve for x
    x = 22,940,729.85/7,803.41
  6. Step 6: Final answer
    x = 2,939.83

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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.