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Finding the Fourth Proportional to 11,630.48, 17,442 and 3,837.44

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Solution

The fourth proportional to 11,630.48, 17,442 and 3,837.44 is: 5,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.48 : 17,442 = 3,837.44 : x
  2. Step 2: Convert to fraction form
    11,630.48/17,442 = 3,837.44/x
  3. Step 3: Cross multiply
    11,630.48x = 17,442 × 3,837.44
  4. Step 4: Simplify right side
    11,630.48x = 66,932,628.48
  5. Step 5: Solve for x
    x = 66,932,628.48/11,630.48
  6. Step 6: Final answer
    x = 5,754.93

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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.