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Finding the Fourth Proportional to 11,940.48, 17,924.56 and 6,404.64

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Solution

The fourth proportional to 11,940.48, 17,924.56 and 6,404.64 is: 9,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.48 : 17,924.56 = 6,404.64 : x
  2. Step 2: Convert to fraction form
    11,940.48/17,924.56 = 6,404.64/x
  3. Step 3: Cross multiply
    11,940.48x = 17,924.56 × 6,404.64
  4. Step 4: Simplify right side
    11,940.48x = 114,800,270.73
  5. Step 5: Solve for x
    x = 114,800,270.73/11,940.48
  6. Step 6: Final answer
    x = 9,614.38

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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.