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Finding the Fourth Proportional to 8,293.57, 12,441.56 and 2,449.42

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Solution

The fourth proportional to 8,293.57, 12,441.56 and 2,449.42 is: 3,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.57 : 12,441.56 = 2,449.42 : x
  2. Step 2: Convert to fraction form
    8,293.57/12,441.56 = 2,449.42/x
  3. Step 3: Cross multiply
    8,293.57x = 12,441.56 × 2,449.42
  4. Step 4: Simplify right side
    8,293.57x = 30,474,605.90
  5. Step 5: Solve for x
    x = 30,474,605.90/8,293.57
  6. Step 6: Final answer
    x = 3,674.49

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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.