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Finding the Fourth Proportional to 11,164.26, 15,406.66 and 6,196.26

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Solution

The fourth proportional to 11,164.26, 15,406.66 and 6,196.26 is: 8,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.26 : 15,406.66 = 6,196.26 : x
  2. Step 2: Convert to fraction form
    11,164.26/15,406.66 = 6,196.26/x
  3. Step 3: Cross multiply
    11,164.26x = 15,406.66 × 6,196.26
  4. Step 4: Simplify right side
    11,164.26x = 95,463,671.09
  5. Step 5: Solve for x
    x = 95,463,671.09/11,164.26
  6. Step 6: Final answer
    x = 8,550.83

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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.