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Finding the Fourth Proportional to 12,227.25, 16,883.94 and 7,758.93

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Solution

The fourth proportional to 12,227.25, 16,883.94 and 7,758.93 is: 10,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.25 : 16,883.94 = 7,758.93 : x
  2. Step 2: Convert to fraction form
    12,227.25/16,883.94 = 7,758.93/x
  3. Step 3: Cross multiply
    12,227.25x = 16,883.94 × 7,758.93
  4. Step 4: Simplify right side
    12,227.25x = 131,001,308.58
  5. Step 5: Solve for x
    x = 131,001,308.58/12,227.25
  6. Step 6: Final answer
    x = 10,713.88

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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.