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Finding the Fourth Proportional to 11,611.44, 16,021.17 and 7,841.52

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Solution

The fourth proportional to 11,611.44, 16,021.17 and 7,841.52 is: 10,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.44 : 16,021.17 = 7,841.52 : x
  2. Step 2: Convert to fraction form
    11,611.44/16,021.17 = 7,841.52/x
  3. Step 3: Cross multiply
    11,611.44x = 16,021.17 × 7,841.52
  4. Step 4: Simplify right side
    11,611.44x = 125,630,324.98
  5. Step 5: Solve for x
    x = 125,630,324.98/11,611.44
  6. Step 6: Final answer
    x = 10,819.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.