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Finding the Fourth Proportional to 7,188, 10,782 and 1,993.92

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Solution

The fourth proportional to 7,188, 10,782 and 1,993.92 is: 2,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188 : 10,782 = 1,993.92 : x
  2. Step 2: Convert to fraction form
    7,188/10,782 = 1,993.92/x
  3. Step 3: Cross multiply
    7,188x = 10,782 × 1,993.92
  4. Step 4: Simplify right side
    7,188x = 21,498,445.44
  5. Step 5: Solve for x
    x = 21,498,445.44/7,188
  6. Step 6: Final answer
    x = 2,990.88

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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.