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Finding the Fourth Proportional to 8,567.20, 12,829.20 and 6,839.20

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Solution

The fourth proportional to 8,567.20, 12,829.20 and 6,839.20 is: 10,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.20 : 12,829.20 = 6,839.20 : x
  2. Step 2: Convert to fraction form
    8,567.20/12,829.20 = 6,839.20/x
  3. Step 3: Cross multiply
    8,567.20x = 12,829.20 × 6,839.20
  4. Step 4: Simplify right side
    8,567.20x = 87,741,464.64
  5. Step 5: Solve for x
    x = 87,741,464.64/8,567.20
  6. Step 6: Final answer
    x = 10,241.56

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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.