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Finding the Fourth Proportional to 8,190.29, 12,287.48 and 2,643.50

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Solution

The fourth proportional to 8,190.29, 12,287.48 and 2,643.50 is: 3,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.29 : 12,287.48 = 2,643.50 : x
  2. Step 2: Convert to fraction form
    8,190.29/12,287.48 = 2,643.50/x
  3. Step 3: Cross multiply
    8,190.29x = 12,287.48 × 2,643.50
  4. Step 4: Simplify right side
    8,190.29x = 32,481,878.73
  5. Step 5: Solve for x
    x = 32,481,878.73/8,190.29
  6. Step 6: Final answer
    x = 3,965.90

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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.