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Finding the Fourth Proportional to 8,194.51, 12,209.31 and 8,112.57

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Solution

The fourth proportional to 8,194.51, 12,209.31 and 8,112.57 is: 12,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.51 : 12,209.31 = 8,112.57 : x
  2. Step 2: Convert to fraction form
    8,194.51/12,209.31 = 8,112.57/x
  3. Step 3: Cross multiply
    8,194.51x = 12,209.31 × 8,112.57
  4. Step 4: Simplify right side
    8,194.51x = 99,048,882.03
  5. Step 5: Solve for x
    x = 99,048,882.03/8,194.51
  6. Step 6: Final answer
    x = 12,087.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.