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Finding the Fourth Proportional to 11,229.66, 15,496.57 and 6,194.09

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Solution

The fourth proportional to 11,229.66, 15,496.57 and 6,194.09 is: 8,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.66 : 15,496.57 = 6,194.09 : x
  2. Step 2: Convert to fraction form
    11,229.66/15,496.57 = 6,194.09/x
  3. Step 3: Cross multiply
    11,229.66x = 15,496.57 × 6,194.09
  4. Step 4: Simplify right side
    11,229.66x = 95,987,149.27
  5. Step 5: Solve for x
    x = 95,987,149.27/11,229.66
  6. Step 6: Final answer
    x = 8,547.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.