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Finding the Fourth Proportional to 12,076.62, 16,665.73 and 6,771.44

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Solution

The fourth proportional to 12,076.62, 16,665.73 and 6,771.44 is: 9,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.62 : 16,665.73 = 6,771.44 : x
  2. Step 2: Convert to fraction form
    12,076.62/16,665.73 = 6,771.44/x
  3. Step 3: Cross multiply
    12,076.62x = 16,665.73 × 6,771.44
  4. Step 4: Simplify right side
    12,076.62x = 112,850,990.75
  5. Step 5: Solve for x
    x = 112,850,990.75/12,076.62
  6. Step 6: Final answer
    x = 9,344.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.