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Finding the Fourth Proportional to 11,929.27, 17,893.91 and 4,138.09

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Solution

The fourth proportional to 11,929.27, 17,893.91 and 4,138.09 is: 6,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.27 : 17,893.91 = 4,138.09 : x
  2. Step 2: Convert to fraction form
    11,929.27/17,893.91 = 4,138.09/x
  3. Step 3: Cross multiply
    11,929.27x = 17,893.91 × 4,138.09
  4. Step 4: Simplify right side
    11,929.27x = 74,046,610.03
  5. Step 5: Solve for x
    x = 74,046,610.03/11,929.27
  6. Step 6: Final answer
    x = 6,207.14

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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.