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Finding the Fourth Proportional to 8,200.04, 12,297.83 and 3,519.86

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Solution

The fourth proportional to 8,200.04, 12,297.83 and 3,519.86 is: 5,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.04 : 12,297.83 = 3,519.86 : x
  2. Step 2: Convert to fraction form
    8,200.04/12,297.83 = 3,519.86/x
  3. Step 3: Cross multiply
    8,200.04x = 12,297.83 × 3,519.86
  4. Step 4: Simplify right side
    8,200.04x = 43,286,560.82
  5. Step 5: Solve for x
    x = 43,286,560.82/8,200.04
  6. Step 6: Final answer
    x = 5,278.83

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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.