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Finding the Fourth Proportional to 10,202.09, 15,273.41 and 7,581.21

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Solution

The fourth proportional to 10,202.09, 15,273.41 and 7,581.21 is: 11,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.09 : 15,273.41 = 7,581.21 : x
  2. Step 2: Convert to fraction form
    10,202.09/15,273.41 = 7,581.21/x
  3. Step 3: Cross multiply
    10,202.09x = 15,273.41 × 7,581.21
  4. Step 4: Simplify right side
    10,202.09x = 115,790,890.72
  5. Step 5: Solve for x
    x = 115,790,890.72/10,202.09
  6. Step 6: Final answer
    x = 11,349.73

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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.