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Finding the Fourth Proportional to 10,198.70, 15,302.64 and 5,513.22

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Solution

The fourth proportional to 10,198.70, 15,302.64 and 5,513.22 is: 8,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.70 : 15,302.64 = 5,513.22 : x
  2. Step 2: Convert to fraction form
    10,198.70/15,302.64 = 5,513.22/x
  3. Step 3: Cross multiply
    10,198.70x = 15,302.64 × 5,513.22
  4. Step 4: Simplify right side
    10,198.70x = 84,366,793.33
  5. Step 5: Solve for x
    x = 84,366,793.33/10,198.70
  6. Step 6: Final answer
    x = 8,272.31

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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.