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Finding the Fourth Proportional to 8,198.92, 11,314.65 and 4,662.16

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Solution

The fourth proportional to 8,198.92, 11,314.65 and 4,662.16 is: 6,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.92 : 11,314.65 = 4,662.16 : x
  2. Step 2: Convert to fraction form
    8,198.92/11,314.65 = 4,662.16/x
  3. Step 3: Cross multiply
    8,198.92x = 11,314.65 × 4,662.16
  4. Step 4: Simplify right side
    8,198.92x = 52,750,697.84
  5. Step 5: Solve for x
    x = 52,750,697.84/8,198.92
  6. Step 6: Final answer
    x = 6,433.86

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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.