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Finding the Fourth Proportional to 8,179.50, 12,252.96 and 3,790.92

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Solution

The fourth proportional to 8,179.50, 12,252.96 and 3,790.92 is: 5,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.50 : 12,252.96 = 3,790.92 : x
  2. Step 2: Convert to fraction form
    8,179.50/12,252.96 = 3,790.92/x
  3. Step 3: Cross multiply
    8,179.50x = 12,252.96 × 3,790.92
  4. Step 4: Simplify right side
    8,179.50x = 46,449,991.12
  5. Step 5: Solve for x
    x = 46,449,991.12/8,179.50
  6. Step 6: Final answer
    x = 5,678.83

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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.