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Finding the Fourth Proportional to 8,422.39, 12,633.57 and 2,266.39

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Solution

The fourth proportional to 8,422.39, 12,633.57 and 2,266.39 is: 3,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.39 : 12,633.57 = 2,266.39 : x
  2. Step 2: Convert to fraction form
    8,422.39/12,633.57 = 2,266.39/x
  3. Step 3: Cross multiply
    8,422.39x = 12,633.57 × 2,266.39
  4. Step 4: Simplify right side
    8,422.39x = 28,632,596.71
  5. Step 5: Solve for x
    x = 28,632,596.71/8,422.39
  6. Step 6: Final answer
    x = 3,399.58

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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.