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Finding the Fourth Proportional to 8,072.39, 12,109.94 and 2,524.64

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Solution

The fourth proportional to 8,072.39, 12,109.94 and 2,524.64 is: 3,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.39 : 12,109.94 = 2,524.64 : x
  2. Step 2: Convert to fraction form
    8,072.39/12,109.94 = 2,524.64/x
  3. Step 3: Cross multiply
    8,072.39x = 12,109.94 × 2,524.64
  4. Step 4: Simplify right side
    8,072.39x = 30,573,175.22
  5. Step 5: Solve for x
    x = 30,573,175.22/8,072.39
  6. Step 6: Final answer
    x = 3,787.37

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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.