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Finding the Fourth Proportional to 8,205.20, 12,311.81 and 5,084.37

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Solution

The fourth proportional to 8,205.20, 12,311.81 and 5,084.37 is: 7,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.20 : 12,311.81 = 5,084.37 : x
  2. Step 2: Convert to fraction form
    8,205.20/12,311.81 = 5,084.37/x
  3. Step 3: Cross multiply
    8,205.20x = 12,311.81 × 5,084.37
  4. Step 4: Simplify right side
    8,205.20x = 62,597,810.12
  5. Step 5: Solve for x
    x = 62,597,810.12/8,205.20
  6. Step 6: Final answer
    x = 7,629.05

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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.