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Finding the Fourth Proportional to 8,282.08, 11,424.13 and 5,138.27

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Solution

The fourth proportional to 8,282.08, 11,424.13 and 5,138.27 is: 7,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.08 : 11,424.13 = 5,138.27 : x
  2. Step 2: Convert to fraction form
    8,282.08/11,424.13 = 5,138.27/x
  3. Step 3: Cross multiply
    8,282.08x = 11,424.13 × 5,138.27
  4. Step 4: Simplify right side
    8,282.08x = 58,700,264.46
  5. Step 5: Solve for x
    x = 58,700,264.46/8,282.08
  6. Step 6: Final answer
    x = 7,087.62

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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.