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Finding the Fourth Proportional to 8,342.43, 12,504.09 and 2,794.47

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Solution

The fourth proportional to 8,342.43, 12,504.09 and 2,794.47 is: 4,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.43 : 12,504.09 = 2,794.47 : x
  2. Step 2: Convert to fraction form
    8,342.43/12,504.09 = 2,794.47/x
  3. Step 3: Cross multiply
    8,342.43x = 12,504.09 × 2,794.47
  4. Step 4: Simplify right side
    8,342.43x = 34,942,304.38
  5. Step 5: Solve for x
    x = 34,942,304.38/8,342.43
  6. Step 6: Final answer
    x = 4,188.50

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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.