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Finding the Fourth Proportional to 8,199.11, 11,314.64 and 4,662.24

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Solution

The fourth proportional to 8,199.11, 11,314.64 and 4,662.24 is: 6,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.11 : 11,314.64 = 4,662.24 : x
  2. Step 2: Convert to fraction form
    8,199.11/11,314.64 = 4,662.24/x
  3. Step 3: Cross multiply
    8,199.11x = 11,314.64 × 4,662.24
  4. Step 4: Simplify right side
    8,199.11x = 52,751,543.88
  5. Step 5: Solve for x
    x = 52,751,543.88/8,199.11
  6. Step 6: Final answer
    x = 6,433.82

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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.