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Finding the Fourth Proportional to 12,072.80, 16,660.94 and 6,767.43

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Solution

The fourth proportional to 12,072.80, 16,660.94 and 6,767.43 is: 9,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.80 : 16,660.94 = 6,767.43 : x
  2. Step 2: Convert to fraction form
    12,072.80/16,660.94 = 6,767.43/x
  3. Step 3: Cross multiply
    12,072.80x = 16,660.94 × 6,767.43
  4. Step 4: Simplify right side
    12,072.80x = 112,751,711.35
  5. Step 5: Solve for x
    x = 112,751,711.35/12,072.80
  6. Step 6: Final answer
    x = 9,339.32

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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.