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Finding the Fourth Proportional to 11,663.78, 17,483.36 and 5,732.44

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Solution

The fourth proportional to 11,663.78, 17,483.36 and 5,732.44 is: 8,592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.78 : 17,483.36 = 5,732.44 : x
  2. Step 2: Convert to fraction form
    11,663.78/17,483.36 = 5,732.44/x
  3. Step 3: Cross multiply
    11,663.78x = 17,483.36 × 5,732.44
  4. Step 4: Simplify right side
    11,663.78x = 100,222,239.83
  5. Step 5: Solve for x
    x = 100,222,239.83/11,663.78
  6. Step 6: Final answer
    x = 8,592.61

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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.