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Finding the Fourth Proportional to 8,204.96, 11,326.72 and 6,189.22

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Solution

The fourth proportional to 8,204.96, 11,326.72 and 6,189.22 is: 8,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.96 : 11,326.72 = 6,189.22 : x
  2. Step 2: Convert to fraction form
    8,204.96/11,326.72 = 6,189.22/x
  3. Step 3: Cross multiply
    8,204.96x = 11,326.72 × 6,189.22
  4. Step 4: Simplify right side
    8,204.96x = 70,103,561.96
  5. Step 5: Solve for x
    x = 70,103,561.96/8,204.96
  6. Step 6: Final answer
    x = 8,544.05

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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.