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Finding the Fourth Proportional to 11,514.54, 17,261.82 and 5,964.96

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Solution

The fourth proportional to 11,514.54, 17,261.82 and 5,964.96 is: 8,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.54 : 17,261.82 = 5,964.96 : x
  2. Step 2: Convert to fraction form
    11,514.54/17,261.82 = 5,964.96/x
  3. Step 3: Cross multiply
    11,514.54x = 17,261.82 × 5,964.96
  4. Step 4: Simplify right side
    11,514.54x = 102,966,065.83
  5. Step 5: Solve for x
    x = 102,966,065.83/11,514.54
  6. Step 6: Final answer
    x = 8,942.26

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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.