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Finding the Fourth Proportional to 7,840.94, 11,761.41 and 1,997.56

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Solution

The fourth proportional to 7,840.94, 11,761.41 and 1,997.56 is: 2,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.94 : 11,761.41 = 1,997.56 : x
  2. Step 2: Convert to fraction form
    7,840.94/11,761.41 = 1,997.56/x
  3. Step 3: Cross multiply
    7,840.94x = 11,761.41 × 1,997.56
  4. Step 4: Simplify right side
    7,840.94x = 23,494,063.35
  5. Step 5: Solve for x
    x = 23,494,063.35/7,840.94
  6. Step 6: Final answer
    x = 2,996.33

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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.