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Finding the Fourth Proportional to 8,198.64, 12,297.56 and 2,355.20

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Solution

The fourth proportional to 8,198.64, 12,297.56 and 2,355.20 is: 3,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.64 : 12,297.56 = 2,355.20 : x
  2. Step 2: Convert to fraction form
    8,198.64/12,297.56 = 2,355.20/x
  3. Step 3: Cross multiply
    8,198.64x = 12,297.56 × 2,355.20
  4. Step 4: Simplify right side
    8,198.64x = 28,963,213.31
  5. Step 5: Solve for x
    x = 28,963,213.31/8,198.64
  6. Step 6: Final answer
    x = 3,532.69

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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.