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Finding the Fourth Proportional to 8,052.96, 12,078.90 and 3,669.24

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Solution

The fourth proportional to 8,052.96, 12,078.90 and 3,669.24 is: 5,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.96 : 12,078.90 = 3,669.24 : x
  2. Step 2: Convert to fraction form
    8,052.96/12,078.90 = 3,669.24/x
  3. Step 3: Cross multiply
    8,052.96x = 12,078.90 × 3,669.24
  4. Step 4: Simplify right side
    8,052.96x = 44,320,383.04
  5. Step 5: Solve for x
    x = 44,320,383.04/8,052.96
  6. Step 6: Final answer
    x = 5,503.61

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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.