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Finding the Fourth Proportional to 8,200.92, 11,317.41 and 4,664.16

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Solution

The fourth proportional to 8,200.92, 11,317.41 and 4,664.16 is: 6,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.92 : 11,317.41 = 4,664.16 : x
  2. Step 2: Convert to fraction form
    8,200.92/11,317.41 = 4,664.16/x
  3. Step 3: Cross multiply
    8,200.92x = 11,317.41 × 4,664.16
  4. Step 4: Simplify right side
    8,200.92x = 52,786,211.03
  5. Step 5: Solve for x
    x = 52,786,211.03/8,200.92
  6. Step 6: Final answer
    x = 6,436.62

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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.