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Finding the Fourth Proportional to 11,765.24, 17,654.03 and 5,195.94

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Solution

The fourth proportional to 11,765.24, 17,654.03 and 5,195.94 is: 7,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.24 : 17,654.03 = 5,195.94 : x
  2. Step 2: Convert to fraction form
    11,765.24/17,654.03 = 5,195.94/x
  3. Step 3: Cross multiply
    11,765.24x = 17,654.03 × 5,195.94
  4. Step 4: Simplify right side
    11,765.24x = 91,729,280.64
  5. Step 5: Solve for x
    x = 91,729,280.64/11,765.24
  6. Step 6: Final answer
    x = 7,796.63

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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.