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Finding the Fourth Proportional to 8,162.37, 12,245.69 and 3,482.64

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Solution

The fourth proportional to 8,162.37, 12,245.69 and 3,482.64 is: 5,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.37 : 12,245.69 = 3,482.64 : x
  2. Step 2: Convert to fraction form
    8,162.37/12,245.69 = 3,482.64/x
  3. Step 3: Cross multiply
    8,162.37x = 12,245.69 × 3,482.64
  4. Step 4: Simplify right side
    8,162.37x = 42,647,329.82
  5. Step 5: Solve for x
    x = 42,647,329.82/8,162.37
  6. Step 6: Final answer
    x = 5,224.87

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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.