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Finding the Fourth Proportional to 8,522.86, 12,786.22 and 2,600.28

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Solution

The fourth proportional to 8,522.86, 12,786.22 and 2,600.28 is: 3,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.86 : 12,786.22 = 2,600.28 : x
  2. Step 2: Convert to fraction form
    8,522.86/12,786.22 = 2,600.28/x
  3. Step 3: Cross multiply
    8,522.86x = 12,786.22 × 2,600.28
  4. Step 4: Simplify right side
    8,522.86x = 33,247,752.14
  5. Step 5: Solve for x
    x = 33,247,752.14/8,522.86
  6. Step 6: Final answer
    x = 3,901.01

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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.