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Finding the Fourth Proportional to 8,311.53, 12,467.94 and 2,468.13

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Solution

The fourth proportional to 8,311.53, 12,467.94 and 2,468.13 is: 3,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.53 : 12,467.94 = 2,468.13 : x
  2. Step 2: Convert to fraction form
    8,311.53/12,467.94 = 2,468.13/x
  3. Step 3: Cross multiply
    8,311.53x = 12,467.94 × 2,468.13
  4. Step 4: Simplify right side
    8,311.53x = 30,772,496.75
  5. Step 5: Solve for x
    x = 30,772,496.75/8,311.53
  6. Step 6: Final answer
    x = 3,702.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.