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Finding the Fourth Proportional to 11,694, 16,135.26 and 7,917.78

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Solution

The fourth proportional to 11,694, 16,135.26 and 7,917.78 is: 10,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694 : 16,135.26 = 7,917.78 : x
  2. Step 2: Convert to fraction form
    11,694/16,135.26 = 7,917.78/x
  3. Step 3: Cross multiply
    11,694x = 16,135.26 × 7,917.78
  4. Step 4: Simplify right side
    11,694x = 127,755,438.92
  5. Step 5: Solve for x
    x = 127,755,438.92/11,694
  6. Step 6: Final answer
    x = 10,924.87

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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.