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Finding the Fourth Proportional to 10,057.44, 15,087.60 and 3,900

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Solution

The fourth proportional to 10,057.44, 15,087.60 and 3,900 is: 5,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.44 : 15,087.60 = 3,900 : x
  2. Step 2: Convert to fraction form
    10,057.44/15,087.60 = 3,900/x
  3. Step 3: Cross multiply
    10,057.44x = 15,087.60 × 3,900
  4. Step 4: Simplify right side
    10,057.44x = 58,841,640
  5. Step 5: Solve for x
    x = 58,841,640/10,057.44
  6. Step 6: Final answer
    x = 5,850.56

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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.