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Finding the Fourth Proportional to 11,638.38, 17,446.98 and 4,241.15

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Solution

The fourth proportional to 11,638.38, 17,446.98 and 4,241.15 is: 6,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.38 : 17,446.98 = 4,241.15 : x
  2. Step 2: Convert to fraction form
    11,638.38/17,446.98 = 4,241.15/x
  3. Step 3: Cross multiply
    11,638.38x = 17,446.98 × 4,241.15
  4. Step 4: Simplify right side
    11,638.38x = 73,995,302.84
  5. Step 5: Solve for x
    x = 73,995,302.84/11,638.38
  6. Step 6: Final answer
    x = 6,357.87

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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.