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Finding the Fourth Proportional to 8,314.62, 12,467.34 and 5,685.09

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Solution

The fourth proportional to 8,314.62, 12,467.34 and 5,685.09 is: 8,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.62 : 12,467.34 = 5,685.09 : x
  2. Step 2: Convert to fraction form
    8,314.62/12,467.34 = 5,685.09/x
  3. Step 3: Cross multiply
    8,314.62x = 12,467.34 × 5,685.09
  4. Step 4: Simplify right side
    8,314.62x = 70,877,919.20
  5. Step 5: Solve for x
    x = 70,877,919.20/8,314.62
  6. Step 6: Final answer
    x = 8,524.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.