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Finding the Fourth Proportional to 11,654.46, 17,481.42 and 6,493.14

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Solution

The fourth proportional to 11,654.46, 17,481.42 and 6,493.14 is: 9,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.46 : 17,481.42 = 6,493.14 : x
  2. Step 2: Convert to fraction form
    11,654.46/17,481.42 = 6,493.14/x
  3. Step 3: Cross multiply
    11,654.46x = 17,481.42 × 6,493.14
  4. Step 4: Simplify right side
    11,654.46x = 113,509,307.46
  5. Step 5: Solve for x
    x = 113,509,307.46/11,654.46
  6. Step 6: Final answer
    x = 9,739.56

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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.