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Finding the Fourth Proportional to 8,516.96, 12,771.12 and 3,896

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Solution

The fourth proportional to 8,516.96, 12,771.12 and 3,896 is: 5,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.96 : 12,771.12 = 3,896 : x
  2. Step 2: Convert to fraction form
    8,516.96/12,771.12 = 3,896/x
  3. Step 3: Cross multiply
    8,516.96x = 12,771.12 × 3,896
  4. Step 4: Simplify right side
    8,516.96x = 49,756,283.52
  5. Step 5: Solve for x
    x = 49,756,283.52/8,516.96
  6. Step 6: Final answer
    x = 5,842.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.