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Finding the Fourth Proportional to 8,218.20, 12,351.60 and 8,072.40

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Solution

The fourth proportional to 8,218.20, 12,351.60 and 8,072.40 is: 12,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.20 : 12,351.60 = 8,072.40 : x
  2. Step 2: Convert to fraction form
    8,218.20/12,351.60 = 8,072.40/x
  3. Step 3: Cross multiply
    8,218.20x = 12,351.60 × 8,072.40
  4. Step 4: Simplify right side
    8,218.20x = 99,707,055.84
  5. Step 5: Solve for x
    x = 99,707,055.84/8,218.20
  6. Step 6: Final answer
    x = 12,132.47

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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.