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Finding the Fourth Proportional to 11,827.26, 16,320.94 and 6,791.14

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Solution

The fourth proportional to 11,827.26, 16,320.94 and 6,791.14 is: 9,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.26 : 16,320.94 = 6,791.14 : x
  2. Step 2: Convert to fraction form
    11,827.26/16,320.94 = 6,791.14/x
  3. Step 3: Cross multiply
    11,827.26x = 16,320.94 × 6,791.14
  4. Step 4: Simplify right side
    11,827.26x = 110,837,788.47
  5. Step 5: Solve for x
    x = 110,837,788.47/11,827.26
  6. Step 6: Final answer
    x = 9,371.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.