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Finding the Fourth Proportional to 8,516.28, 11,734.91 and 8,401.46

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Solution

The fourth proportional to 8,516.28, 11,734.91 and 8,401.46 is: 11,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.28 : 11,734.91 = 8,401.46 : x
  2. Step 2: Convert to fraction form
    8,516.28/11,734.91 = 8,401.46/x
  3. Step 3: Cross multiply
    8,516.28x = 11,734.91 × 8,401.46
  4. Step 4: Simplify right side
    8,516.28x = 98,590,376.97
  5. Step 5: Solve for x
    x = 98,590,376.97/8,516.28
  6. Step 6: Final answer
    x = 11,576.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.