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Finding the Fourth Proportional to 8,463, 12,694.98 and 2,619.16

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Solution

The fourth proportional to 8,463, 12,694.98 and 2,619.16 is: 3,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463 : 12,694.98 = 2,619.16 : x
  2. Step 2: Convert to fraction form
    8,463/12,694.98 = 2,619.16/x
  3. Step 3: Cross multiply
    8,463x = 12,694.98 × 2,619.16
  4. Step 4: Simplify right side
    8,463x = 33,250,183.82
  5. Step 5: Solve for x
    x = 33,250,183.82/8,463
  6. Step 6: Final answer
    x = 3,928.89

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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.