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Finding the Fourth Proportional to 8,567.43, 12,853.22 and 2,724.06

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Solution

The fourth proportional to 8,567.43, 12,853.22 and 2,724.06 is: 4,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.43 : 12,853.22 = 2,724.06 : x
  2. Step 2: Convert to fraction form
    8,567.43/12,853.22 = 2,724.06/x
  3. Step 3: Cross multiply
    8,567.43x = 12,853.22 × 2,724.06
  4. Step 4: Simplify right side
    8,567.43x = 35,012,942.47
  5. Step 5: Solve for x
    x = 35,012,942.47/8,567.43
  6. Step 6: Final answer
    x = 4,086.75

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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.