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Finding the Fourth Proportional to 8,209.82, 11,330.88 and 5,066.22

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Solution

The fourth proportional to 8,209.82, 11,330.88 and 5,066.22 is: 6,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.82 : 11,330.88 = 5,066.22 : x
  2. Step 2: Convert to fraction form
    8,209.82/11,330.88 = 5,066.22/x
  3. Step 3: Cross multiply
    8,209.82x = 11,330.88 × 5,066.22
  4. Step 4: Simplify right side
    8,209.82x = 57,404,730.87
  5. Step 5: Solve for x
    x = 57,404,730.87/8,209.82
  6. Step 6: Final answer
    x = 6,992.20

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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.