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Finding the Fourth Proportional to 8,201.64, 11,318.40 and 4,664.10

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Solution

The fourth proportional to 8,201.64, 11,318.40 and 4,664.10 is: 6,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.64 : 11,318.40 = 4,664.10 : x
  2. Step 2: Convert to fraction form
    8,201.64/11,318.40 = 4,664.10/x
  3. Step 3: Cross multiply
    8,201.64x = 11,318.40 × 4,664.10
  4. Step 4: Simplify right side
    8,201.64x = 52,790,149.44
  5. Step 5: Solve for x
    x = 52,790,149.44/8,201.64
  6. Step 6: Final answer
    x = 6,436.54

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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.