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Finding the Fourth Proportional to 8,201.25, 11,318.00 and 4,475.25

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Solution

The fourth proportional to 8,201.25, 11,318.00 and 4,475.25 is: 6,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.25 : 11,318.00 = 4,475.25 : x
  2. Step 2: Convert to fraction form
    8,201.25/11,318.00 = 4,475.25/x
  3. Step 3: Cross multiply
    8,201.25x = 11,318.00 × 4,475.25
  4. Step 4: Simplify right side
    8,201.25x = 50,650,857.12
  5. Step 5: Solve for x
    x = 50,650,857.12/8,201.25
  6. Step 6: Final answer
    x = 6,175.99

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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.