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Finding the Fourth Proportional to 10,489.87, 15,723.83 and 3,913.41

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Solution

The fourth proportional to 10,489.87, 15,723.83 and 3,913.41 is: 5,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.87 : 15,723.83 = 3,913.41 : x
  2. Step 2: Convert to fraction form
    10,489.87/15,723.83 = 3,913.41/x
  3. Step 3: Cross multiply
    10,489.87x = 15,723.83 × 3,913.41
  4. Step 4: Simplify right side
    10,489.87x = 61,533,793.56
  5. Step 5: Solve for x
    x = 61,533,793.56/10,489.87
  6. Step 6: Final answer
    x = 5,866.02

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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.