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Finding the Fourth Proportional to 11,464.52, 17,174.82 and 7,760.36

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Solution

The fourth proportional to 11,464.52, 17,174.82 and 7,760.36 is: 11,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.52 : 17,174.82 = 7,760.36 : x
  2. Step 2: Convert to fraction form
    11,464.52/17,174.82 = 7,760.36/x
  3. Step 3: Cross multiply
    11,464.52x = 17,174.82 × 7,760.36
  4. Step 4: Simplify right side
    11,464.52x = 133,282,786.14
  5. Step 5: Solve for x
    x = 133,282,786.14/11,464.52
  6. Step 6: Final answer
    x = 11,625.68

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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.