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Finding the Fourth Proportional to 8,155.35, 12,233.49 and 2,311.50

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Solution

The fourth proportional to 8,155.35, 12,233.49 and 2,311.50 is: 3,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.35 : 12,233.49 = 2,311.50 : x
  2. Step 2: Convert to fraction form
    8,155.35/12,233.49 = 2,311.50/x
  3. Step 3: Cross multiply
    8,155.35x = 12,233.49 × 2,311.50
  4. Step 4: Simplify right side
    8,155.35x = 28,277,712.14
  5. Step 5: Solve for x
    x = 28,277,712.14/8,155.35
  6. Step 6: Final answer
    x = 3,467.38

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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.