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Finding the Fourth Proportional to 8,072.75, 12,107.18 and 3,392.84

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Solution

The fourth proportional to 8,072.75, 12,107.18 and 3,392.84 is: 5,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.75 : 12,107.18 = 3,392.84 : x
  2. Step 2: Convert to fraction form
    8,072.75/12,107.18 = 3,392.84/x
  3. Step 3: Cross multiply
    8,072.75x = 12,107.18 × 3,392.84
  4. Step 4: Simplify right side
    8,072.75x = 41,077,647.09
  5. Step 5: Solve for x
    x = 41,077,647.09/8,072.75
  6. Step 6: Final answer
    x = 5,088.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.