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Finding the Fourth Proportional to 11,880, 17,817.17 and 3,982.79

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Solution

The fourth proportional to 11,880, 17,817.17 and 3,982.79 is: 5,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 17,817.17 = 3,982.79 : x
  2. Step 2: Convert to fraction form
    11,880/17,817.17 = 3,982.79/x
  3. Step 3: Cross multiply
    11,880x = 17,817.17 × 3,982.79
  4. Step 4: Simplify right side
    11,880x = 70,962,071.13
  5. Step 5: Solve for x
    x = 70,962,071.13/11,880
  6. Step 6: Final answer
    x = 5,973.24

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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.