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Finding the Fourth Proportional to 11,297.97, 16,957.43 and 8,138.66

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Solution

The fourth proportional to 11,297.97, 16,957.43 and 8,138.66 is: 12,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.97 : 16,957.43 = 8,138.66 : x
  2. Step 2: Convert to fraction form
    11,297.97/16,957.43 = 8,138.66/x
  3. Step 3: Cross multiply
    11,297.97x = 16,957.43 × 8,138.66
  4. Step 4: Simplify right side
    11,297.97x = 138,010,757.24
  5. Step 5: Solve for x
    x = 138,010,757.24/11,297.97
  6. Step 6: Final answer
    x = 12,215.54

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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.