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Finding the Fourth Proportional to 11,791.44, 17,684.46 and 5,214.06

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Solution

The fourth proportional to 11,791.44, 17,684.46 and 5,214.06 is: 7,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.44 : 17,684.46 = 5,214.06 : x
  2. Step 2: Convert to fraction form
    11,791.44/17,684.46 = 5,214.06/x
  3. Step 3: Cross multiply
    11,791.44x = 17,684.46 × 5,214.06
  4. Step 4: Simplify right side
    11,791.44x = 92,207,835.51
  5. Step 5: Solve for x
    x = 92,207,835.51/11,791.44
  6. Step 6: Final answer
    x = 7,819.90

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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.