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Finding the Fourth Proportional to 11,548.88, 17,321.72 and 4,152.27

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Solution

The fourth proportional to 11,548.88, 17,321.72 and 4,152.27 is: 6,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.88 : 17,321.72 = 4,152.27 : x
  2. Step 2: Convert to fraction form
    11,548.88/17,321.72 = 4,152.27/x
  3. Step 3: Cross multiply
    11,548.88x = 17,321.72 × 4,152.27
  4. Step 4: Simplify right side
    11,548.88x = 71,924,437.54
  5. Step 5: Solve for x
    x = 71,924,437.54/11,548.88
  6. Step 6: Final answer
    x = 6,227.83

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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.