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Finding the Fourth Proportional to 8,199.60, 12,296.52 and 3,819.12

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Solution

The fourth proportional to 8,199.60, 12,296.52 and 3,819.12 is: 5,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.60 : 12,296.52 = 3,819.12 : x
  2. Step 2: Convert to fraction form
    8,199.60/12,296.52 = 3,819.12/x
  3. Step 3: Cross multiply
    8,199.60x = 12,296.52 × 3,819.12
  4. Step 4: Simplify right side
    8,199.60x = 46,961,885.46
  5. Step 5: Solve for x
    x = 46,961,885.46/8,199.60
  6. Step 6: Final answer
    x = 5,727.34

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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.