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Finding the Fourth Proportional to 11,722.40, 17,584.08 and 3,936.80

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Solution

The fourth proportional to 11,722.40, 17,584.08 and 3,936.80 is: 5,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.40 : 17,584.08 = 3,936.80 : x
  2. Step 2: Convert to fraction form
    11,722.40/17,584.08 = 3,936.80/x
  3. Step 3: Cross multiply
    11,722.40x = 17,584.08 × 3,936.80
  4. Step 4: Simplify right side
    11,722.40x = 69,225,006.14
  5. Step 5: Solve for x
    x = 69,225,006.14/11,722.40
  6. Step 6: Final answer
    x = 5,905.36

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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.