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Finding the Fourth Proportional to 11,726.70, 17,591.14 and 3,406.38

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Solution

The fourth proportional to 11,726.70, 17,591.14 and 3,406.38 is: 5,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.70 : 17,591.14 = 3,406.38 : x
  2. Step 2: Convert to fraction form
    11,726.70/17,591.14 = 3,406.38/x
  3. Step 3: Cross multiply
    11,726.70x = 17,591.14 × 3,406.38
  4. Step 4: Simplify right side
    11,726.70x = 59,922,107.47
  5. Step 5: Solve for x
    x = 59,922,107.47/11,726.70
  6. Step 6: Final answer
    x = 5,109.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.