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Finding the Fourth Proportional to 8,311.36, 11,469.64 and 4,534.47

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Solution

The fourth proportional to 8,311.36, 11,469.64 and 4,534.47 is: 6,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.36 : 11,469.64 = 4,534.47 : x
  2. Step 2: Convert to fraction form
    8,311.36/11,469.64 = 4,534.47/x
  3. Step 3: Cross multiply
    8,311.36x = 11,469.64 × 4,534.47
  4. Step 4: Simplify right side
    8,311.36x = 52,008,738.49
  5. Step 5: Solve for x
    x = 52,008,738.49/8,311.36
  6. Step 6: Final answer
    x = 6,257.55

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