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Finding the Fourth Proportional to 8,639.16, 11,906.42 and 6,500.17

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Solution

The fourth proportional to 8,639.16, 11,906.42 and 6,500.17 is: 8,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.16 : 11,906.42 = 6,500.17 : x
  2. Step 2: Convert to fraction form
    8,639.16/11,906.42 = 6,500.17/x
  3. Step 3: Cross multiply
    8,639.16x = 11,906.42 × 6,500.17
  4. Step 4: Simplify right side
    8,639.16x = 77,393,754.09
  5. Step 5: Solve for x
    x = 77,393,754.09/8,639.16
  6. Step 6: Final answer
    x = 8,958.48

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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.