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Finding the Fourth Proportional to 8,165.82, 11,274.12 and 5,145.30

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Solution

The fourth proportional to 8,165.82, 11,274.12 and 5,145.30 is: 7,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.82 : 11,274.12 = 5,145.30 : x
  2. Step 2: Convert to fraction form
    8,165.82/11,274.12 = 5,145.30/x
  3. Step 3: Cross multiply
    8,165.82x = 11,274.12 × 5,145.30
  4. Step 4: Simplify right side
    8,165.82x = 58,008,729.64
  5. Step 5: Solve for x
    x = 58,008,729.64/8,165.82
  6. Step 6: Final answer
    x = 7,103.85

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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.