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Finding the Fourth Proportional to 8,311, 12,468.93 and 2,467.75

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Solution

The fourth proportional to 8,311, 12,468.93 and 2,467.75 is: 3,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311 : 12,468.93 = 2,467.75 : x
  2. Step 2: Convert to fraction form
    8,311/12,468.93 = 2,467.75/x
  3. Step 3: Cross multiply
    8,311x = 12,468.93 × 2,467.75
  4. Step 4: Simplify right side
    8,311x = 30,770,202.01
  5. Step 5: Solve for x
    x = 30,770,202.01/8,311
  6. Step 6: Final answer
    x = 3,702.35

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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.