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Finding the Fourth Proportional to 8,267, 11,418.18 and 5,467.64

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Solution

The fourth proportional to 8,267, 11,418.18 and 5,467.64 is: 7,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 11,418.18 = 5,467.64 : x
  2. Step 2: Convert to fraction form
    8,267/11,418.18 = 5,467.64/x
  3. Step 3: Cross multiply
    8,267x = 11,418.18 × 5,467.64
  4. Step 4: Simplify right side
    8,267x = 62,430,497.70
  5. Step 5: Solve for x
    x = 62,430,497.70/8,267
  6. Step 6: Final answer
    x = 7,551.77

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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.