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Finding the Fourth Proportional to 8,189.91, 12,286.69 and 2,346.57

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Solution

The fourth proportional to 8,189.91, 12,286.69 and 2,346.57 is: 3,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.91 : 12,286.69 = 2,346.57 : x
  2. Step 2: Convert to fraction form
    8,189.91/12,286.69 = 2,346.57/x
  3. Step 3: Cross multiply
    8,189.91x = 12,286.69 × 2,346.57
  4. Step 4: Simplify right side
    8,189.91x = 28,831,572.29
  5. Step 5: Solve for x
    x = 28,831,572.29/8,189.91
  6. Step 6: Final answer
    x = 3,520.38

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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.