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Finding the Fourth Proportional to 10,414.98, 15,609.06 and 3,833.37

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Solution

The fourth proportional to 10,414.98, 15,609.06 and 3,833.37 is: 5,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.98 : 15,609.06 = 3,833.37 : x
  2. Step 2: Convert to fraction form
    10,414.98/15,609.06 = 3,833.37/x
  3. Step 3: Cross multiply
    10,414.98x = 15,609.06 × 3,833.37
  4. Step 4: Simplify right side
    10,414.98x = 59,835,302.33
  5. Step 5: Solve for x
    x = 59,835,302.33/10,414.98
  6. Step 6: Final answer
    x = 5,745.12

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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.