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Finding the Fourth Proportional to 10,198.67, 15,294.24 and 3,533.49

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Solution

The fourth proportional to 10,198.67, 15,294.24 and 3,533.49 is: 5,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.67 : 15,294.24 = 3,533.49 : x
  2. Step 2: Convert to fraction form
    10,198.67/15,294.24 = 3,533.49/x
  3. Step 3: Cross multiply
    10,198.67x = 15,294.24 × 3,533.49
  4. Step 4: Simplify right side
    10,198.67x = 54,042,044.10
  5. Step 5: Solve for x
    x = 54,042,044.10/10,198.67
  6. Step 6: Final answer
    x = 5,298.93

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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.