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Finding the Fourth Proportional to 7,122.50, 10,682.80 and 2,191.73

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Solution

The fourth proportional to 7,122.50, 10,682.80 and 2,191.73 is: 3,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.50 : 10,682.80 = 2,191.73 : x
  2. Step 2: Convert to fraction form
    7,122.50/10,682.80 = 2,191.73/x
  3. Step 3: Cross multiply
    7,122.50x = 10,682.80 × 2,191.73
  4. Step 4: Simplify right side
    7,122.50x = 23,413,766.68
  5. Step 5: Solve for x
    x = 23,413,766.68/7,122.50
  6. Step 6: Final answer
    x = 3,287.30

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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.