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Finding the Fourth Proportional to 11,342.62, 17,044 and 6,081.50

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Solution

The fourth proportional to 11,342.62, 17,044 and 6,081.50 is: 9,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.62 : 17,044 = 6,081.50 : x
  2. Step 2: Convert to fraction form
    11,342.62/17,044 = 6,081.50/x
  3. Step 3: Cross multiply
    11,342.62x = 17,044 × 6,081.50
  4. Step 4: Simplify right side
    11,342.62x = 103,653,086
  5. Step 5: Solve for x
    x = 103,653,086/11,342.62
  6. Step 6: Final answer
    x = 9,138.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.