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Finding the Fourth Proportional to 11,654.28, 17,477.64 and 3,861

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Solution

The fourth proportional to 11,654.28, 17,477.64 and 3,861 is: 5,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.28 : 17,477.64 = 3,861 : x
  2. Step 2: Convert to fraction form
    11,654.28/17,477.64 = 3,861/x
  3. Step 3: Cross multiply
    11,654.28x = 17,477.64 × 3,861
  4. Step 4: Simplify right side
    11,654.28x = 67,481,168.04
  5. Step 5: Solve for x
    x = 67,481,168.04/11,654.28
  6. Step 6: Final answer
    x = 5,790.25

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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.