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Finding the Fourth Proportional to 11,656.28, 17,480.64 and 3,863

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Solution

The fourth proportional to 11,656.28, 17,480.64 and 3,863 is: 5,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.28 : 17,480.64 = 3,863 : x
  2. Step 2: Convert to fraction form
    11,656.28/17,480.64 = 3,863/x
  3. Step 3: Cross multiply
    11,656.28x = 17,480.64 × 3,863
  4. Step 4: Simplify right side
    11,656.28x = 67,527,712.32
  5. Step 5: Solve for x
    x = 67,527,712.32/11,656.28
  6. Step 6: Final answer
    x = 5,793.25

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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.