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Finding the Fourth Proportional to 11,193.60, 16,766.10 and 6,819.60

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Solution

The fourth proportional to 11,193.60, 16,766.10 and 6,819.60 is: 10,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.60 : 16,766.10 = 6,819.60 : x
  2. Step 2: Convert to fraction form
    11,193.60/16,766.10 = 6,819.60/x
  3. Step 3: Cross multiply
    11,193.60x = 16,766.10 × 6,819.60
  4. Step 4: Simplify right side
    11,193.60x = 114,338,095.56
  5. Step 5: Solve for x
    x = 114,338,095.56/11,193.60
  6. Step 6: Final answer
    x = 10,214.60

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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.