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Finding the Fourth Proportional to 8,287.50, 11,414.57 and 7,168.49

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Solution

The fourth proportional to 8,287.50, 11,414.57 and 7,168.49 is: 9,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.50 : 11,414.57 = 7,168.49 : x
  2. Step 2: Convert to fraction form
    8,287.50/11,414.57 = 7,168.49/x
  3. Step 3: Cross multiply
    8,287.50x = 11,414.57 × 7,168.49
  4. Step 4: Simplify right side
    8,287.50x = 81,825,137.98
  5. Step 5: Solve for x
    x = 81,825,137.98/8,287.50
  6. Step 6: Final answer
    x = 9,873.32

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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.