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Finding the Fourth Proportional to 12,076.52, 16,665.92 and 6,771.22

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Solution

The fourth proportional to 12,076.52, 16,665.92 and 6,771.22 is: 9,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.52 : 16,665.92 = 6,771.22 : x
  2. Step 2: Convert to fraction form
    12,076.52/16,665.92 = 6,771.22/x
  3. Step 3: Cross multiply
    12,076.52x = 16,665.92 × 6,771.22
  4. Step 4: Simplify right side
    12,076.52x = 112,848,560.69
  5. Step 5: Solve for x
    x = 112,848,560.69/12,076.52
  6. Step 6: Final answer
    x = 9,344.46

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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.