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Finding the Fourth Proportional to 10,826.88, 16,240.79 and 3,431.88

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Solution

The fourth proportional to 10,826.88, 16,240.79 and 3,431.88 is: 5,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.88 : 16,240.79 = 3,431.88 : x
  2. Step 2: Convert to fraction form
    10,826.88/16,240.79 = 3,431.88/x
  3. Step 3: Cross multiply
    10,826.88x = 16,240.79 × 3,431.88
  4. Step 4: Simplify right side
    10,826.88x = 55,736,442.39
  5. Step 5: Solve for x
    x = 55,736,442.39/10,826.88
  6. Step 6: Final answer
    x = 5,147.97

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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.