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Finding the Fourth Proportional to 11,511.57, 17,245.13 and 9,640.47

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Solution

The fourth proportional to 11,511.57, 17,245.13 and 9,640.47 is: 14,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.57 : 17,245.13 = 9,640.47 : x
  2. Step 2: Convert to fraction form
    11,511.57/17,245.13 = 9,640.47/x
  3. Step 3: Cross multiply
    11,511.57x = 17,245.13 × 9,640.47
  4. Step 4: Simplify right side
    11,511.57x = 166,251,110.21
  5. Step 5: Solve for x
    x = 166,251,110.21/11,511.57
  6. Step 6: Final answer
    x = 14,442.09

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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.