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Finding the Fourth Proportional to 11,639.40, 16,057.17 and 7,759.71

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Solution

The fourth proportional to 11,639.40, 16,057.17 and 7,759.71 is: 10,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.40 : 16,057.17 = 7,759.71 : x
  2. Step 2: Convert to fraction form
    11,639.40/16,057.17 = 7,759.71/x
  3. Step 3: Cross multiply
    11,639.40x = 16,057.17 × 7,759.71
  4. Step 4: Simplify right side
    11,639.40x = 124,598,982.62
  5. Step 5: Solve for x
    x = 124,598,982.62/11,639.40
  6. Step 6: Final answer
    x = 10,704.93

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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.