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Finding the Fourth Proportional to 11,377, 17,067.39 and 3,584.26

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Solution

The fourth proportional to 11,377, 17,067.39 and 3,584.26 is: 5,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377 : 17,067.39 = 3,584.26 : x
  2. Step 2: Convert to fraction form
    11,377/17,067.39 = 3,584.26/x
  3. Step 3: Cross multiply
    11,377x = 17,067.39 × 3,584.26
  4. Step 4: Simplify right side
    11,377x = 61,173,963.28
  5. Step 5: Solve for x
    x = 61,173,963.28/11,377
  6. Step 6: Final answer
    x = 5,376.99

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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.