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Finding the Fourth Proportional to 8,263.38, 11,408.22 and 6,270.44

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Solution

The fourth proportional to 8,263.38, 11,408.22 and 6,270.44 is: 8,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.38 : 11,408.22 = 6,270.44 : x
  2. Step 2: Convert to fraction form
    8,263.38/11,408.22 = 6,270.44/x
  3. Step 3: Cross multiply
    8,263.38x = 11,408.22 × 6,270.44
  4. Step 4: Simplify right side
    8,263.38x = 71,534,559.02
  5. Step 5: Solve for x
    x = 71,534,559.02/8,263.38
  6. Step 6: Final answer
    x = 8,656.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.