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Finding the Fourth Proportional to 8,066.25, 12,094.92 and 5,433.62

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Solution

The fourth proportional to 8,066.25, 12,094.92 and 5,433.62 is: 8,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.25 : 12,094.92 = 5,433.62 : x
  2. Step 2: Convert to fraction form
    8,066.25/12,094.92 = 5,433.62/x
  3. Step 3: Cross multiply
    8,066.25x = 12,094.92 × 5,433.62
  4. Step 4: Simplify right side
    8,066.25x = 65,719,138.74
  5. Step 5: Solve for x
    x = 65,719,138.74/8,066.25
  6. Step 6: Final answer
    x = 8,147.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.