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Finding the Fourth Proportional to 8,189.08, 11,305.22 and 5,514.36

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Solution

The fourth proportional to 8,189.08, 11,305.22 and 5,514.36 is: 7,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.08 : 11,305.22 = 5,514.36 : x
  2. Step 2: Convert to fraction form
    8,189.08/11,305.22 = 5,514.36/x
  3. Step 3: Cross multiply
    8,189.08x = 11,305.22 × 5,514.36
  4. Step 4: Simplify right side
    8,189.08x = 62,341,052.96
  5. Step 5: Solve for x
    x = 62,341,052.96/8,189.08
  6. Step 6: Final answer
    x = 7,612.71

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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.