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Finding the Fourth Proportional to 8,127.57, 12,191.83 and 2,284.64

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Solution

The fourth proportional to 8,127.57, 12,191.83 and 2,284.64 is: 3,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.57 : 12,191.83 = 2,284.64 : x
  2. Step 2: Convert to fraction form
    8,127.57/12,191.83 = 2,284.64/x
  3. Step 3: Cross multiply
    8,127.57x = 12,191.83 × 2,284.64
  4. Step 4: Simplify right side
    8,127.57x = 27,853,942.49
  5. Step 5: Solve for x
    x = 27,853,942.49/8,127.57
  6. Step 6: Final answer
    x = 3,427.09

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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.