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Finding the Fourth Proportional to 8,184.32, 12,297.60 and 6,801.92

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Solution

The fourth proportional to 8,184.32, 12,297.60 and 6,801.92 is: 10,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.32 : 12,297.60 = 6,801.92 : x
  2. Step 2: Convert to fraction form
    8,184.32/12,297.60 = 6,801.92/x
  3. Step 3: Cross multiply
    8,184.32x = 12,297.60 × 6,801.92
  4. Step 4: Simplify right side
    8,184.32x = 83,647,291.39
  5. Step 5: Solve for x
    x = 83,647,291.39/8,184.32
  6. Step 6: Final answer
    x = 10,220.43

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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.