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Finding the Fourth Proportional to 8,311.01, 12,468.60 and 2,467.46

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Solution

The fourth proportional to 8,311.01, 12,468.60 and 2,467.46 is: 3,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.01 : 12,468.60 = 2,467.46 : x
  2. Step 2: Convert to fraction form
    8,311.01/12,468.60 = 2,467.46/x
  3. Step 3: Cross multiply
    8,311.01x = 12,468.60 × 2,467.46
  4. Step 4: Simplify right side
    8,311.01x = 30,765,802.93
  5. Step 5: Solve for x
    x = 30,765,802.93/8,311.01
  6. Step 6: Final answer
    x = 3,701.81

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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.