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Finding the Fourth Proportional to 12,076.97, 16,665.96 and 6,771.67

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Solution

The fourth proportional to 12,076.97, 16,665.96 and 6,771.67 is: 9,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.97 : 16,665.96 = 6,771.67 : x
  2. Step 2: Convert to fraction form
    12,076.97/16,665.96 = 6,771.67/x
  3. Step 3: Cross multiply
    12,076.97x = 16,665.96 × 6,771.67
  4. Step 4: Simplify right side
    12,076.97x = 112,856,381.35
  5. Step 5: Solve for x
    x = 112,856,381.35/12,076.97
  6. Step 6: Final answer
    x = 9,344.76

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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.