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Finding the Fourth Proportional to 8,714, 12,035.22 and 5,914.64

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Solution

The fourth proportional to 8,714, 12,035.22 and 5,914.64 is: 8,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714 : 12,035.22 = 5,914.64 : x
  2. Step 2: Convert to fraction form
    8,714/12,035.22 = 5,914.64/x
  3. Step 3: Cross multiply
    8,714x = 12,035.22 × 5,914.64
  4. Step 4: Simplify right side
    8,714x = 71,183,993.62
  5. Step 5: Solve for x
    x = 71,183,993.62/8,714
  6. Step 6: Final answer
    x = 8,168.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.