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Finding the Fourth Proportional to 10,826.10, 16,231.05 and 5,901.30

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Solution

The fourth proportional to 10,826.10, 16,231.05 and 5,901.30 is: 8,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.10 : 16,231.05 = 5,901.30 : x
  2. Step 2: Convert to fraction form
    10,826.10/16,231.05 = 5,901.30/x
  3. Step 3: Cross multiply
    10,826.10x = 16,231.05 × 5,901.30
  4. Step 4: Simplify right side
    10,826.10x = 95,784,295.37
  5. Step 5: Solve for x
    x = 95,784,295.37/10,826.10
  6. Step 6: Final answer
    x = 8,847.53

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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.