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Finding the Fourth Proportional to 8,563.96, 12,842.70 and 3,367

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Solution

The fourth proportional to 8,563.96, 12,842.70 and 3,367 is: 5,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.96 : 12,842.70 = 3,367 : x
  2. Step 2: Convert to fraction form
    8,563.96/12,842.70 = 3,367/x
  3. Step 3: Cross multiply
    8,563.96x = 12,842.70 × 3,367
  4. Step 4: Simplify right side
    8,563.96x = 43,241,370.90
  5. Step 5: Solve for x
    x = 43,241,370.90/8,563.96
  6. Step 6: Final answer
    x = 5,049.23

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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.