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Finding the Fourth Proportional to 10,501.73, 15,753.41 and 3,481.46

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Solution

The fourth proportional to 10,501.73, 15,753.41 and 3,481.46 is: 5,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.73 : 15,753.41 = 3,481.46 : x
  2. Step 2: Convert to fraction form
    10,501.73/15,753.41 = 3,481.46/x
  3. Step 3: Cross multiply
    10,501.73x = 15,753.41 × 3,481.46
  4. Step 4: Simplify right side
    10,501.73x = 54,844,866.78
  5. Step 5: Solve for x
    x = 54,844,866.78/10,501.73
  6. Step 6: Final answer
    x = 5,222.46

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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.