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Finding the Fourth Proportional to 8,199.56, 12,296.75 and 2,651.56

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Solution

The fourth proportional to 8,199.56, 12,296.75 and 2,651.56 is: 3,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.56 : 12,296.75 = 2,651.56 : x
  2. Step 2: Convert to fraction form
    8,199.56/12,296.75 = 2,651.56/x
  3. Step 3: Cross multiply
    8,199.56x = 12,296.75 × 2,651.56
  4. Step 4: Simplify right side
    8,199.56x = 32,605,526.43
  5. Step 5: Solve for x
    x = 32,605,526.43/8,199.56
  6. Step 6: Final answer
    x = 3,976.50

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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.