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Finding the Fourth Proportional to 8,239.92, 12,361.12 and 2,395.76

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Solution

The fourth proportional to 8,239.92, 12,361.12 and 2,395.76 is: 3,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.92 : 12,361.12 = 2,395.76 : x
  2. Step 2: Convert to fraction form
    8,239.92/12,361.12 = 2,395.76/x
  3. Step 3: Cross multiply
    8,239.92x = 12,361.12 × 2,395.76
  4. Step 4: Simplify right side
    8,239.92x = 29,614,276.85
  5. Step 5: Solve for x
    x = 29,614,276.85/8,239.92
  6. Step 6: Final answer
    x = 3,594.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.