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Finding the Fourth Proportional to 11,937.78, 17,906.27 and 4,146.39

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Solution

The fourth proportional to 11,937.78, 17,906.27 and 4,146.39 is: 6,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.78 : 17,906.27 = 4,146.39 : x
  2. Step 2: Convert to fraction form
    11,937.78/17,906.27 = 4,146.39/x
  3. Step 3: Cross multiply
    11,937.78x = 17,906.27 × 4,146.39
  4. Step 4: Simplify right side
    11,937.78x = 74,246,358.13
  5. Step 5: Solve for x
    x = 74,246,358.13/11,937.78
  6. Step 6: Final answer
    x = 6,219.44

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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.