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Finding the Fourth Proportional to 11,782.22, 17,674.23 and 3,881.66

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Solution

The fourth proportional to 11,782.22, 17,674.23 and 3,881.66 is: 5,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.22 : 17,674.23 = 3,881.66 : x
  2. Step 2: Convert to fraction form
    11,782.22/17,674.23 = 3,881.66/x
  3. Step 3: Cross multiply
    11,782.22x = 17,674.23 × 3,881.66
  4. Step 4: Simplify right side
    11,782.22x = 68,605,351.62
  5. Step 5: Solve for x
    x = 68,605,351.62/11,782.22
  6. Step 6: Final answer
    x = 5,822.79

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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.