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Finding the Fourth Proportional to 8,468.14, 12,704.10 and 2,624.80

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Solution

The fourth proportional to 8,468.14, 12,704.10 and 2,624.80 is: 3,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.14 : 12,704.10 = 2,624.80 : x
  2. Step 2: Convert to fraction form
    8,468.14/12,704.10 = 2,624.80/x
  3. Step 3: Cross multiply
    8,468.14x = 12,704.10 × 2,624.80
  4. Step 4: Simplify right side
    8,468.14x = 33,345,721.68
  5. Step 5: Solve for x
    x = 33,345,721.68/8,468.14
  6. Step 6: Final answer
    x = 3,937.79

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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.