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Finding the Fourth Proportional to 10,201.38, 15,305.94 and 5,267.88

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Solution

The fourth proportional to 10,201.38, 15,305.94 and 5,267.88 is: 7,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.38 : 15,305.94 = 5,267.88 : x
  2. Step 2: Convert to fraction form
    10,201.38/15,305.94 = 5,267.88/x
  3. Step 3: Cross multiply
    10,201.38x = 15,305.94 × 5,267.88
  4. Step 4: Simplify right side
    10,201.38x = 80,629,855.21
  5. Step 5: Solve for x
    x = 80,629,855.21/10,201.38
  6. Step 6: Final answer
    x = 7,903.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.