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Finding the Fourth Proportional to 11,690.14, 17,540.62 and 5,115.46

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Solution

The fourth proportional to 11,690.14, 17,540.62 and 5,115.46 is: 7,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.14 : 17,540.62 = 5,115.46 : x
  2. Step 2: Convert to fraction form
    11,690.14/17,540.62 = 5,115.46/x
  3. Step 3: Cross multiply
    11,690.14x = 17,540.62 × 5,115.46
  4. Step 4: Simplify right side
    11,690.14x = 89,728,339.99
  5. Step 5: Solve for x
    x = 89,728,339.99/11,690.14
  6. Step 6: Final answer
    x = 7,675.56

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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.