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Finding the Fourth Proportional to 8,097.92, 12,147.75 and 2,551.43

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Solution

The fourth proportional to 8,097.92, 12,147.75 and 2,551.43 is: 3,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.92 : 12,147.75 = 2,551.43 : x
  2. Step 2: Convert to fraction form
    8,097.92/12,147.75 = 2,551.43/x
  3. Step 3: Cross multiply
    8,097.92x = 12,147.75 × 2,551.43
  4. Step 4: Simplify right side
    8,097.92x = 30,994,133.78
  5. Step 5: Solve for x
    x = 30,994,133.78/8,097.92
  6. Step 6: Final answer
    x = 3,827.42

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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.