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Finding the Fourth Proportional to 8,615.38, 11,871.69 and 8,150.50

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Solution

The fourth proportional to 8,615.38, 11,871.69 and 8,150.50 is: 11,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.38 : 11,871.69 = 8,150.50 : x
  2. Step 2: Convert to fraction form
    8,615.38/11,871.69 = 8,150.50/x
  3. Step 3: Cross multiply
    8,615.38x = 11,871.69 × 8,150.50
  4. Step 4: Simplify right side
    8,615.38x = 96,760,209.35
  5. Step 5: Solve for x
    x = 96,760,209.35/8,615.38
  6. Step 6: Final answer
    x = 11,231.10

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Why These Related Problems?

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