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Finding the Fourth Proportional to 8,394.86, 12,581.50 and 3,467.96

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Solution

The fourth proportional to 8,394.86, 12,581.50 and 3,467.96 is: 5,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.86 : 12,581.50 = 3,467.96 : x
  2. Step 2: Convert to fraction form
    8,394.86/12,581.50 = 3,467.96/x
  3. Step 3: Cross multiply
    8,394.86x = 12,581.50 × 3,467.96
  4. Step 4: Simplify right side
    8,394.86x = 43,632,138.74
  5. Step 5: Solve for x
    x = 43,632,138.74/8,394.86
  6. Step 6: Final answer
    x = 5,197.48

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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.