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Finding the Fourth Proportional to 8,213.92, 12,323.04 and 2,370.96

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Solution

The fourth proportional to 8,213.92, 12,323.04 and 2,370.96 is: 3,557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.92 : 12,323.04 = 2,370.96 : x
  2. Step 2: Convert to fraction form
    8,213.92/12,323.04 = 2,370.96/x
  3. Step 3: Cross multiply
    8,213.92x = 12,323.04 × 2,370.96
  4. Step 4: Simplify right side
    8,213.92x = 29,217,434.92
  5. Step 5: Solve for x
    x = 29,217,434.92/8,213.92
  6. Step 6: Final answer
    x = 3,557.06

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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.