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Finding the Fourth Proportional to 8,364.60, 12,546.90 and 2,819.34

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Solution

The fourth proportional to 8,364.60, 12,546.90 and 2,819.34 is: 4,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.60 : 12,546.90 = 2,819.34 : x
  2. Step 2: Convert to fraction form
    8,364.60/12,546.90 = 2,819.34/x
  3. Step 3: Cross multiply
    8,364.60x = 12,546.90 × 2,819.34
  4. Step 4: Simplify right side
    8,364.60x = 35,373,977.05
  5. Step 5: Solve for x
    x = 35,373,977.05/8,364.60
  6. Step 6: Final answer
    x = 4,229.01

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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.