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Finding the Fourth Proportional to 8,116.76, 12,171.54 and 3,182.60

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Solution

The fourth proportional to 8,116.76, 12,171.54 and 3,182.60 is: 4,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.76 : 12,171.54 = 3,182.60 : x
  2. Step 2: Convert to fraction form
    8,116.76/12,171.54 = 3,182.60/x
  3. Step 3: Cross multiply
    8,116.76x = 12,171.54 × 3,182.60
  4. Step 4: Simplify right side
    8,116.76x = 38,737,143.20
  5. Step 5: Solve for x
    x = 38,737,143.20/8,116.76
  6. Step 6: Final answer
    x = 4,772.49

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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.