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Finding the Fourth Proportional to 8,504.64, 12,760.38 and 4,121.64

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Solution

The fourth proportional to 8,504.64, 12,760.38 and 4,121.64 is: 6,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.64 : 12,760.38 = 4,121.64 : x
  2. Step 2: Convert to fraction form
    8,504.64/12,760.38 = 4,121.64/x
  3. Step 3: Cross multiply
    8,504.64x = 12,760.38 × 4,121.64
  4. Step 4: Simplify right side
    8,504.64x = 52,593,692.62
  5. Step 5: Solve for x
    x = 52,593,692.62/8,504.64
  6. Step 6: Final answer
    x = 6,184.12

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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.