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Finding the Fourth Proportional to 11,819.64, 17,729.52 and 3,499.82

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Solution

The fourth proportional to 11,819.64, 17,729.52 and 3,499.82 is: 5,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.64 : 17,729.52 = 3,499.82 : x
  2. Step 2: Convert to fraction form
    11,819.64/17,729.52 = 3,499.82/x
  3. Step 3: Cross multiply
    11,819.64x = 17,729.52 × 3,499.82
  4. Step 4: Simplify right side
    11,819.64x = 62,050,070.95
  5. Step 5: Solve for x
    x = 62,050,070.95/11,819.64
  6. Step 6: Final answer
    x = 5,249.74

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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.