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Finding the Fourth Proportional to 11,693.94, 17,517.78 and 6,138.96

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Solution

The fourth proportional to 11,693.94, 17,517.78 and 6,138.96 is: 9,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.94 : 17,517.78 = 6,138.96 : x
  2. Step 2: Convert to fraction form
    11,693.94/17,517.78 = 6,138.96/x
  3. Step 3: Cross multiply
    11,693.94x = 17,517.78 × 6,138.96
  4. Step 4: Simplify right side
    11,693.94x = 107,540,950.71
  5. Step 5: Solve for x
    x = 107,540,950.71/11,693.94
  6. Step 6: Final answer
    x = 9,196.30

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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.