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Finding the Fourth Proportional to 8,319.24, 12,478.62 and 2,163.24

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Solution

The fourth proportional to 8,319.24, 12,478.62 and 2,163.24 is: 3,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.24 : 12,478.62 = 2,163.24 : x
  2. Step 2: Convert to fraction form
    8,319.24/12,478.62 = 2,163.24/x
  3. Step 3: Cross multiply
    8,319.24x = 12,478.62 × 2,163.24
  4. Step 4: Simplify right side
    8,319.24x = 26,994,249.93
  5. Step 5: Solve for x
    x = 26,994,249.93/8,319.24
  6. Step 6: Final answer
    x = 3,244.80

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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.