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Finding the Fourth Proportional to 8,109.62, 11,186.20 and 6,218.12

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Solution

The fourth proportional to 8,109.62, 11,186.20 and 6,218.12 is: 8,577.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.62 : 11,186.20 = 6,218.12 : x
  2. Step 2: Convert to fraction form
    8,109.62/11,186.20 = 6,218.12/x
  3. Step 3: Cross multiply
    8,109.62x = 11,186.20 × 6,218.12
  4. Step 4: Simplify right side
    8,109.62x = 69,557,062.47
  5. Step 5: Solve for x
    x = 69,557,062.47/8,109.62
  6. Step 6: Final answer
    x = 8,577.11

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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.