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Finding the Fourth Proportional to 11,796.21, 17,694.38 and 5,222.46

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Solution

The fourth proportional to 11,796.21, 17,694.38 and 5,222.46 is: 7,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.21 : 17,694.38 = 5,222.46 : x
  2. Step 2: Convert to fraction form
    11,796.21/17,694.38 = 5,222.46/x
  3. Step 3: Cross multiply
    11,796.21x = 17,694.38 × 5,222.46
  4. Step 4: Simplify right side
    11,796.21x = 92,408,165.66
  5. Step 5: Solve for x
    x = 92,408,165.66/11,796.21
  6. Step 6: Final answer
    x = 7,833.72

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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.