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Finding the Fourth Proportional to 8,198.02, 12,352.34 and 6,769.18

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Solution

The fourth proportional to 8,198.02, 12,352.34 and 6,769.18 is: 10,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.02 : 12,352.34 = 6,769.18 : x
  2. Step 2: Convert to fraction form
    8,198.02/12,352.34 = 6,769.18/x
  3. Step 3: Cross multiply
    8,198.02x = 12,352.34 × 6,769.18
  4. Step 4: Simplify right side
    8,198.02x = 83,615,212.88
  5. Step 5: Solve for x
    x = 83,615,212.88/8,198.02
  6. Step 6: Final answer
    x = 10,199.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.