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Finding the Fourth Proportional to 10,467.35, 14,447.25 and 8,194.17

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Solution

The fourth proportional to 10,467.35, 14,447.25 and 8,194.17 is: 11,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.35 : 14,447.25 = 8,194.17 : x
  2. Step 2: Convert to fraction form
    10,467.35/14,447.25 = 8,194.17/x
  3. Step 3: Cross multiply
    10,467.35x = 14,447.25 × 8,194.17
  4. Step 4: Simplify right side
    10,467.35x = 118,383,222.53
  5. Step 5: Solve for x
    x = 118,383,222.53/10,467.35
  6. Step 6: Final answer
    x = 11,309.76

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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.