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Finding the Fourth Proportional to 8,201.07, 11,317.50 and 4,475.07

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Solution

The fourth proportional to 8,201.07, 11,317.50 and 4,475.07 is: 6,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.07 : 11,317.50 = 4,475.07 : x
  2. Step 2: Convert to fraction form
    8,201.07/11,317.50 = 4,475.07/x
  3. Step 3: Cross multiply
    8,201.07x = 11,317.50 × 4,475.07
  4. Step 4: Simplify right side
    8,201.07x = 50,646,604.73
  5. Step 5: Solve for x
    x = 50,646,604.73/8,201.07
  6. Step 6: Final answer
    x = 6,175.61

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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.