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Finding the Fourth Proportional to 8,066.82, 11,106.46 and 6,883.14

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Solution

The fourth proportional to 8,066.82, 11,106.46 and 6,883.14 is: 9,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.82 : 11,106.46 = 6,883.14 : x
  2. Step 2: Convert to fraction form
    8,066.82/11,106.46 = 6,883.14/x
  3. Step 3: Cross multiply
    8,066.82x = 11,106.46 × 6,883.14
  4. Step 4: Simplify right side
    8,066.82x = 76,447,246.34
  5. Step 5: Solve for x
    x = 76,447,246.34/8,066.82
  6. Step 6: Final answer
    x = 9,476.76

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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.