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Finding the Fourth Proportional to 8,199.33, 11,314.67 and 4,662.46

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Solution

The fourth proportional to 8,199.33, 11,314.67 and 4,662.46 is: 6,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.33 : 11,314.67 = 4,662.46 : x
  2. Step 2: Convert to fraction form
    8,199.33/11,314.67 = 4,662.46/x
  3. Step 3: Cross multiply
    8,199.33x = 11,314.67 × 4,662.46
  4. Step 4: Simplify right side
    8,199.33x = 52,754,172.98
  5. Step 5: Solve for x
    x = 52,754,172.98/8,199.33
  6. Step 6: Final answer
    x = 6,433.97

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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.