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Finding the Fourth Proportional to 8,202.26, 12,302.18 and 2,656.09

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Solution

The fourth proportional to 8,202.26, 12,302.18 and 2,656.09 is: 3,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.26 : 12,302.18 = 2,656.09 : x
  2. Step 2: Convert to fraction form
    8,202.26/12,302.18 = 2,656.09/x
  3. Step 3: Cross multiply
    8,202.26x = 12,302.18 × 2,656.09
  4. Step 4: Simplify right side
    8,202.26x = 32,675,709.33
  5. Step 5: Solve for x
    x = 32,675,709.33/8,202.26
  6. Step 6: Final answer
    x = 3,983.74

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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.