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Finding the Fourth Proportional to 10,198.71, 15,295.26 and 2,801.41

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Solution

The fourth proportional to 10,198.71, 15,295.26 and 2,801.41 is: 4,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.71 : 15,295.26 = 2,801.41 : x
  2. Step 2: Convert to fraction form
    10,198.71/15,295.26 = 2,801.41/x
  3. Step 3: Cross multiply
    10,198.71x = 15,295.26 × 2,801.41
  4. Step 4: Simplify right side
    10,198.71x = 42,848,285.96
  5. Step 5: Solve for x
    x = 42,848,285.96/10,198.71
  6. Step 6: Final answer
    x = 4,201.34

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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.