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Finding the Fourth Proportional to 8,084.21, 12,115.05 and 4,523.09

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Solution

The fourth proportional to 8,084.21, 12,115.05 and 4,523.09 is: 6,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.21 : 12,115.05 = 4,523.09 : x
  2. Step 2: Convert to fraction form
    8,084.21/12,115.05 = 4,523.09/x
  3. Step 3: Cross multiply
    8,084.21x = 12,115.05 × 4,523.09
  4. Step 4: Simplify right side
    8,084.21x = 54,797,461.50
  5. Step 5: Solve for x
    x = 54,797,461.50/8,084.21
  6. Step 6: Final answer
    x = 6,778.33

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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.