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Finding the Fourth Proportional to 10,481.94, 15,723.90 and 3,462

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Solution

The fourth proportional to 10,481.94, 15,723.90 and 3,462 is: 5,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.94 : 15,723.90 = 3,462 : x
  2. Step 2: Convert to fraction form
    10,481.94/15,723.90 = 3,462/x
  3. Step 3: Cross multiply
    10,481.94x = 15,723.90 × 3,462
  4. Step 4: Simplify right side
    10,481.94x = 54,436,141.80
  5. Step 5: Solve for x
    x = 54,436,141.80/10,481.94
  6. Step 6: Final answer
    x = 5,193.33

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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.