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Finding the Fourth Proportional to 8,219.82, 12,333.78 and 5,099.03

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Solution

The fourth proportional to 8,219.82, 12,333.78 and 5,099.03 is: 7,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.82 : 12,333.78 = 5,099.03 : x
  2. Step 2: Convert to fraction form
    8,219.82/12,333.78 = 5,099.03/x
  3. Step 3: Cross multiply
    8,219.82x = 12,333.78 × 5,099.03
  4. Step 4: Simplify right side
    8,219.82x = 62,890,252.56
  5. Step 5: Solve for x
    x = 62,890,252.56/8,219.82
  6. Step 6: Final answer
    x = 7,651.05

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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.