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Finding the Fourth Proportional to 8,212.50, 12,320.70 and 2,665.86

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Solution

The fourth proportional to 8,212.50, 12,320.70 and 2,665.86 is: 3,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.50 : 12,320.70 = 2,665.86 : x
  2. Step 2: Convert to fraction form
    8,212.50/12,320.70 = 2,665.86/x
  3. Step 3: Cross multiply
    8,212.50x = 12,320.70 × 2,665.86
  4. Step 4: Simplify right side
    8,212.50x = 32,845,261.30
  5. Step 5: Solve for x
    x = 32,845,261.30/8,212.50
  6. Step 6: Final answer
    x = 3,999.42

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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.