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Finding the Fourth Proportional to 10,819.60, 16,229.40 and 3,894.64

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Solution

The fourth proportional to 10,819.60, 16,229.40 and 3,894.64 is: 5,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.60 : 16,229.40 = 3,894.64 : x
  2. Step 2: Convert to fraction form
    10,819.60/16,229.40 = 3,894.64/x
  3. Step 3: Cross multiply
    10,819.60x = 16,229.40 × 3,894.64
  4. Step 4: Simplify right side
    10,819.60x = 63,207,670.42
  5. Step 5: Solve for x
    x = 63,207,670.42/10,819.60
  6. Step 6: Final answer
    x = 5,841.96

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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.