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Finding the Fourth Proportional to 8,134.28, 12,200.80 and 2,587.80

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Solution

The fourth proportional to 8,134.28, 12,200.80 and 2,587.80 is: 3,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.28 : 12,200.80 = 2,587.80 : x
  2. Step 2: Convert to fraction form
    8,134.28/12,200.80 = 2,587.80/x
  3. Step 3: Cross multiply
    8,134.28x = 12,200.80 × 2,587.80
  4. Step 4: Simplify right side
    8,134.28x = 31,573,230.24
  5. Step 5: Solve for x
    x = 31,573,230.24/8,134.28
  6. Step 6: Final answer
    x = 3,881.50

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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.