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Finding the Fourth Proportional to 8,251.75, 12,368.19 and 3,318.24

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Solution

The fourth proportional to 8,251.75, 12,368.19 and 3,318.24 is: 4,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.75 : 12,368.19 = 3,318.24 : x
  2. Step 2: Convert to fraction form
    8,251.75/12,368.19 = 3,318.24/x
  3. Step 3: Cross multiply
    8,251.75x = 12,368.19 × 3,318.24
  4. Step 4: Simplify right side
    8,251.75x = 41,040,622.79
  5. Step 5: Solve for x
    x = 41,040,622.79/8,251.75
  6. Step 6: Final answer
    x = 4,973.57

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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.