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Finding the Fourth Proportional to 8,294.44, 12,443.46 and 2,451.52

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Solution

The fourth proportional to 8,294.44, 12,443.46 and 2,451.52 is: 3,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.44 : 12,443.46 = 2,451.52 : x
  2. Step 2: Convert to fraction form
    8,294.44/12,443.46 = 2,451.52/x
  3. Step 3: Cross multiply
    8,294.44x = 12,443.46 × 2,451.52
  4. Step 4: Simplify right side
    8,294.44x = 30,505,391.06
  5. Step 5: Solve for x
    x = 30,505,391.06/8,294.44
  6. Step 6: Final answer
    x = 3,677.81

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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.