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Finding the Fourth Proportional to 8,072.82, 11,141.64 and 4,536.27

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Solution

The fourth proportional to 8,072.82, 11,141.64 and 4,536.27 is: 6,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.82 : 11,141.64 = 4,536.27 : x
  2. Step 2: Convert to fraction form
    8,072.82/11,141.64 = 4,536.27/x
  3. Step 3: Cross multiply
    8,072.82x = 11,141.64 × 4,536.27
  4. Step 4: Simplify right side
    8,072.82x = 50,541,487.28
  5. Step 5: Solve for x
    x = 50,541,487.28/8,072.82
  6. Step 6: Final answer
    x = 6,260.70

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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.