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Finding the Fourth Proportional to 11,638.28, 17,461.74 and 5,401.28

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Solution

The fourth proportional to 11,638.28, 17,461.74 and 5,401.28 is: 8,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.28 : 17,461.74 = 5,401.28 : x
  2. Step 2: Convert to fraction form
    11,638.28/17,461.74 = 5,401.28/x
  3. Step 3: Cross multiply
    11,638.28x = 17,461.74 × 5,401.28
  4. Step 4: Simplify right side
    11,638.28x = 94,315,747.03
  5. Step 5: Solve for x
    x = 94,315,747.03/11,638.28
  6. Step 6: Final answer
    x = 8,103.92

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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.