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Finding the Fourth Proportional to 11,893.73, 17,841.80 and 4,100.72

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Solution

The fourth proportional to 11,893.73, 17,841.80 and 4,100.72 is: 6,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.73 : 17,841.80 = 4,100.72 : x
  2. Step 2: Convert to fraction form
    11,893.73/17,841.80 = 4,100.72/x
  3. Step 3: Cross multiply
    11,893.73x = 17,841.80 × 4,100.72
  4. Step 4: Simplify right side
    11,893.73x = 73,164,147.14
  5. Step 5: Solve for x
    x = 73,164,147.14/11,893.73
  6. Step 6: Final answer
    x = 6,151.49

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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.