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Finding the Fourth Proportional to 11,906.97, 17,860.61 and 8,208.21

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Solution

The fourth proportional to 11,906.97, 17,860.61 and 8,208.21 is: 12,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.97 : 17,860.61 = 8,208.21 : x
  2. Step 2: Convert to fraction form
    11,906.97/17,860.61 = 8,208.21/x
  3. Step 3: Cross multiply
    11,906.97x = 17,860.61 × 8,208.21
  4. Step 4: Simplify right side
    11,906.97x = 146,603,596.57
  5. Step 5: Solve for x
    x = 146,603,596.57/11,906.97
  6. Step 6: Final answer
    x = 12,312.42

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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.