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Finding the Fourth Proportional to 11,893.97, 17,837.40 and 7,458.37

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Solution

The fourth proportional to 11,893.97, 17,837.40 and 7,458.37 is: 11,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.97 : 17,837.40 = 7,458.37 : x
  2. Step 2: Convert to fraction form
    11,893.97/17,837.40 = 7,458.37/x
  3. Step 3: Cross multiply
    11,893.97x = 17,837.40 × 7,458.37
  4. Step 4: Simplify right side
    11,893.97x = 133,037,929.04
  5. Step 5: Solve for x
    x = 133,037,929.04/11,893.97
  6. Step 6: Final answer
    x = 11,185.33

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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.