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Finding the Fourth Proportional to 12,076.72, 16,665.75 and 6,771.49

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Solution

The fourth proportional to 12,076.72, 16,665.75 and 6,771.49 is: 9,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.72 : 16,665.75 = 6,771.49 : x
  2. Step 2: Convert to fraction form
    12,076.72/16,665.75 = 6,771.49/x
  3. Step 3: Cross multiply
    12,076.72x = 16,665.75 × 6,771.49
  4. Step 4: Simplify right side
    12,076.72x = 112,851,917.80
  5. Step 5: Solve for x
    x = 112,851,917.80/12,076.72
  6. Step 6: Final answer
    x = 9,344.59

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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.