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Finding the Fourth Proportional to 11,851.96, 17,772.06 and 6,922.84

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Solution

The fourth proportional to 11,851.96, 17,772.06 and 6,922.84 is: 10,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.96 : 17,772.06 = 6,922.84 : x
  2. Step 2: Convert to fraction form
    11,851.96/17,772.06 = 6,922.84/x
  3. Step 3: Cross multiply
    11,851.96x = 17,772.06 × 6,922.84
  4. Step 4: Simplify right side
    11,851.96x = 123,033,127.85
  5. Step 5: Solve for x
    x = 123,033,127.85/11,851.96
  6. Step 6: Final answer
    x = 10,380.83

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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.