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Finding the Fourth Proportional to 11,726.40, 17,591.88 and 3,831.12

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Solution

The fourth proportional to 11,726.40, 17,591.88 and 3,831.12 is: 5,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.40 : 17,591.88 = 3,831.12 : x
  2. Step 2: Convert to fraction form
    11,726.40/17,591.88 = 3,831.12/x
  3. Step 3: Cross multiply
    11,726.40x = 17,591.88 × 3,831.12
  4. Step 4: Simplify right side
    11,726.40x = 67,396,603.31
  5. Step 5: Solve for x
    x = 67,396,603.31/11,726.40
  6. Step 6: Final answer
    x = 5,747.42

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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.