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Finding the Fourth Proportional to 8,561.26, 12,838.86 and 3,296.68

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Solution

The fourth proportional to 8,561.26, 12,838.86 and 3,296.68 is: 4,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.26 : 12,838.86 = 3,296.68 : x
  2. Step 2: Convert to fraction form
    8,561.26/12,838.86 = 3,296.68/x
  3. Step 3: Cross multiply
    8,561.26x = 12,838.86 × 3,296.68
  4. Step 4: Simplify right side
    8,561.26x = 42,325,612.98
  5. Step 5: Solve for x
    x = 42,325,612.98/8,561.26
  6. Step 6: Final answer
    x = 4,943.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.