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Finding the Fourth Proportional to 11,478.66, 17,217.17 and 5,633.16

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Solution

The fourth proportional to 11,478.66, 17,217.17 and 5,633.16 is: 8,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.66 : 17,217.17 = 5,633.16 : x
  2. Step 2: Convert to fraction form
    11,478.66/17,217.17 = 5,633.16/x
  3. Step 3: Cross multiply
    11,478.66x = 17,217.17 × 5,633.16
  4. Step 4: Simplify right side
    11,478.66x = 96,987,033.44
  5. Step 5: Solve for x
    x = 96,987,033.44/11,478.66
  6. Step 6: Final answer
    x = 8,449.34

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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.