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Finding the Fourth Proportional to 8,314.43, 12,467.48 and 2,765.84

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Solution

The fourth proportional to 8,314.43, 12,467.48 and 2,765.84 is: 4,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.43 : 12,467.48 = 2,765.84 : x
  2. Step 2: Convert to fraction form
    8,314.43/12,467.48 = 2,765.84/x
  3. Step 3: Cross multiply
    8,314.43x = 12,467.48 × 2,765.84
  4. Step 4: Simplify right side
    8,314.43x = 34,482,978.72
  5. Step 5: Solve for x
    x = 34,482,978.72/8,314.43
  6. Step 6: Final answer
    x = 4,147.37

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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.