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Finding the Fourth Proportional to 7,654.77, 11,472.57 and 3,267.09

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Solution

The fourth proportional to 7,654.77, 11,472.57 and 3,267.09 is: 4,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.77 : 11,472.57 = 3,267.09 : x
  2. Step 2: Convert to fraction form
    7,654.77/11,472.57 = 3,267.09/x
  3. Step 3: Cross multiply
    7,654.77x = 11,472.57 × 3,267.09
  4. Step 4: Simplify right side
    7,654.77x = 37,481,918.72
  5. Step 5: Solve for x
    x = 37,481,918.72/7,654.77
  6. Step 6: Final answer
    x = 4,896.54

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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.