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Finding the Fourth Proportional to 11,694.94, 17,519.28 and 6,139.96

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Solution

The fourth proportional to 11,694.94, 17,519.28 and 6,139.96 is: 9,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.94 : 17,519.28 = 6,139.96 : x
  2. Step 2: Convert to fraction form
    11,694.94/17,519.28 = 6,139.96/x
  3. Step 3: Cross multiply
    11,694.94x = 17,519.28 × 6,139.96
  4. Step 4: Simplify right side
    11,694.94x = 107,567,678.43
  5. Step 5: Solve for x
    x = 107,567,678.43/11,694.94
  6. Step 6: Final answer
    x = 9,197.80

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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.