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Finding the Fourth Proportional to 8,527.76, 12,786.24 and 3,600.80

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Solution

The fourth proportional to 8,527.76, 12,786.24 and 3,600.80 is: 5,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.76 : 12,786.24 = 3,600.80 : x
  2. Step 2: Convert to fraction form
    8,527.76/12,786.24 = 3,600.80/x
  3. Step 3: Cross multiply
    8,527.76x = 12,786.24 × 3,600.80
  4. Step 4: Simplify right side
    8,527.76x = 46,040,692.99
  5. Step 5: Solve for x
    x = 46,040,692.99/8,527.76
  6. Step 6: Final answer
    x = 5,398.92

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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.