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Finding the Fourth Proportional to 8,662.52, 12,993.60 and 3,467

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Solution

The fourth proportional to 8,662.52, 12,993.60 and 3,467 is: 5,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.52 : 12,993.60 = 3,467 : x
  2. Step 2: Convert to fraction form
    8,662.52/12,993.60 = 3,467/x
  3. Step 3: Cross multiply
    8,662.52x = 12,993.60 × 3,467
  4. Step 4: Simplify right side
    8,662.52x = 45,048,811.20
  5. Step 5: Solve for x
    x = 45,048,811.20/8,662.52
  6. Step 6: Final answer
    x = 5,200.43

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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.