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Finding the Fourth Proportional to 8,504.63, 12,761.26 and 3,823.69

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Solution

The fourth proportional to 8,504.63, 12,761.26 and 3,823.69 is: 5,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.63 : 12,761.26 = 3,823.69 : x
  2. Step 2: Convert to fraction form
    8,504.63/12,761.26 = 3,823.69/x
  3. Step 3: Cross multiply
    8,504.63x = 12,761.26 × 3,823.69
  4. Step 4: Simplify right side
    8,504.63x = 48,795,102.25
  5. Step 5: Solve for x
    x = 48,795,102.25/8,504.63
  6. Step 6: Final answer
    x = 5,737.48

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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.