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Finding the Fourth Proportional to 10,202.02, 15,273.32 and 7,581.15

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Solution

The fourth proportional to 10,202.02, 15,273.32 and 7,581.15 is: 11,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.02 : 15,273.32 = 7,581.15 : x
  2. Step 2: Convert to fraction form
    10,202.02/15,273.32 = 7,581.15/x
  3. Step 3: Cross multiply
    10,202.02x = 15,273.32 × 7,581.15
  4. Step 4: Simplify right side
    10,202.02x = 115,789,292.01
  5. Step 5: Solve for x
    x = 115,789,292.01/10,202.02
  6. Step 6: Final answer
    x = 11,349.65

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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.