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Finding the Fourth Proportional to 8,244.94, 12,367.30 and 2,005

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Solution

The fourth proportional to 8,244.94, 12,367.30 and 2,005 is: 3,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.94 : 12,367.30 = 2,005 : x
  2. Step 2: Convert to fraction form
    8,244.94/12,367.30 = 2,005/x
  3. Step 3: Cross multiply
    8,244.94x = 12,367.30 × 2,005
  4. Step 4: Simplify right side
    8,244.94x = 24,796,436.50
  5. Step 5: Solve for x
    x = 24,796,436.50/8,244.94
  6. Step 6: Final answer
    x = 3,007.47

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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.