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Finding the Fourth Proportional to 10,438.33, 15,658.24 and 4,198.38

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Solution

The fourth proportional to 10,438.33, 15,658.24 and 4,198.38 is: 6,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.33 : 15,658.24 = 4,198.38 : x
  2. Step 2: Convert to fraction form
    10,438.33/15,658.24 = 4,198.38/x
  3. Step 3: Cross multiply
    10,438.33x = 15,658.24 × 4,198.38
  4. Step 4: Simplify right side
    10,438.33x = 65,739,142.37
  5. Step 5: Solve for x
    x = 65,739,142.37/10,438.33
  6. Step 6: Final answer
    x = 6,297.86

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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.