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Finding the Fourth Proportional to 7,846.44, 11,768.64 and 2,002.70

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Solution

The fourth proportional to 7,846.44, 11,768.64 and 2,002.70 is: 3,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.44 : 11,768.64 = 2,002.70 : x
  2. Step 2: Convert to fraction form
    7,846.44/11,768.64 = 2,002.70/x
  3. Step 3: Cross multiply
    7,846.44x = 11,768.64 × 2,002.70
  4. Step 4: Simplify right side
    7,846.44x = 23,568,996.48
  5. Step 5: Solve for x
    x = 23,568,996.48/7,846.44
  6. Step 6: Final answer
    x = 3,003.78

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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.