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Finding the Fourth Proportional to 8,297.30, 12,451.16 and 3,366.96

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Solution

The fourth proportional to 8,297.30, 12,451.16 and 3,366.96 is: 5,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.30 : 12,451.16 = 3,366.96 : x
  2. Step 2: Convert to fraction form
    8,297.30/12,451.16 = 3,366.96/x
  3. Step 3: Cross multiply
    8,297.30x = 12,451.16 × 3,366.96
  4. Step 4: Simplify right side
    8,297.30x = 41,922,557.67
  5. Step 5: Solve for x
    x = 41,922,557.67/8,297.30
  6. Step 6: Final answer
    x = 5,052.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.