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Finding the Fourth Proportional to 11,635.70, 16,053.30 and 7,660.85

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Solution

The fourth proportional to 11,635.70, 16,053.30 and 7,660.85 is: 10,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.70 : 16,053.30 = 7,660.85 : x
  2. Step 2: Convert to fraction form
    11,635.70/16,053.30 = 7,660.85/x
  3. Step 3: Cross multiply
    11,635.70x = 16,053.30 × 7,660.85
  4. Step 4: Simplify right side
    11,635.70x = 122,981,843.04
  5. Step 5: Solve for x
    x = 122,981,843.04/11,635.70
  6. Step 6: Final answer
    x = 10,569.36

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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.