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Finding the Fourth Proportional to 8,129.36, 12,194.35 and 2,582.89

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Solution

The fourth proportional to 8,129.36, 12,194.35 and 2,582.89 is: 3,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.36 : 12,194.35 = 2,582.89 : x
  2. Step 2: Convert to fraction form
    8,129.36/12,194.35 = 2,582.89/x
  3. Step 3: Cross multiply
    8,129.36x = 12,194.35 × 2,582.89
  4. Step 4: Simplify right side
    8,129.36x = 31,496,627.73
  5. Step 5: Solve for x
    x = 31,496,627.73/8,129.36
  6. Step 6: Final answer
    x = 3,874.43

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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.