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Finding the Fourth Proportional to 11,500.32, 17,251.20 and 3,709.44

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Solution

The fourth proportional to 11,500.32, 17,251.20 and 3,709.44 is: 5,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.32 : 17,251.20 = 3,709.44 : x
  2. Step 2: Convert to fraction form
    11,500.32/17,251.20 = 3,709.44/x
  3. Step 3: Cross multiply
    11,500.32x = 17,251.20 × 3,709.44
  4. Step 4: Simplify right side
    11,500.32x = 63,992,291.33
  5. Step 5: Solve for x
    x = 63,992,291.33/11,500.32
  6. Step 6: Final answer
    x = 5,564.39

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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.