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Finding the Fourth Proportional to 11,389.82, 17,078.34 and 3,991.38

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Solution

The fourth proportional to 11,389.82, 17,078.34 and 3,991.38 is: 5,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.82 : 17,078.34 = 3,991.38 : x
  2. Step 2: Convert to fraction form
    11,389.82/17,078.34 = 3,991.38/x
  3. Step 3: Cross multiply
    11,389.82x = 17,078.34 × 3,991.38
  4. Step 4: Simplify right side
    11,389.82x = 68,166,095.63
  5. Step 5: Solve for x
    x = 68,166,095.63/11,389.82
  6. Step 6: Final answer
    x = 5,984.83

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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.