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Finding the Fourth Proportional to 11,654.72, 17,483.24 and 3,864.12

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Solution

The fourth proportional to 11,654.72, 17,483.24 and 3,864.12 is: 5,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.72 : 17,483.24 = 3,864.12 : x
  2. Step 2: Convert to fraction form
    11,654.72/17,483.24 = 3,864.12/x
  3. Step 3: Cross multiply
    11,654.72x = 17,483.24 × 3,864.12
  4. Step 4: Simplify right side
    11,654.72x = 67,557,337.35
  5. Step 5: Solve for x
    x = 67,557,337.35/11,654.72
  6. Step 6: Final answer
    x = 5,796.56

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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.