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Finding the Fourth Proportional to 8,216.50, 12,326.70 and 2,669.86

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Solution

The fourth proportional to 8,216.50, 12,326.70 and 2,669.86 is: 4,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.50 : 12,326.70 = 2,669.86 : x
  2. Step 2: Convert to fraction form
    8,216.50/12,326.70 = 2,669.86/x
  3. Step 3: Cross multiply
    8,216.50x = 12,326.70 × 2,669.86
  4. Step 4: Simplify right side
    8,216.50x = 32,910,563.26
  5. Step 5: Solve for x
    x = 32,910,563.26/8,216.50
  6. Step 6: Final answer
    x = 4,005.42

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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.