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Finding the Fourth Proportional to 11,880.50, 17,817.92 and 3,983.30

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Solution

The fourth proportional to 11,880.50, 17,817.92 and 3,983.30 is: 5,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.50 : 17,817.92 = 3,983.30 : x
  2. Step 2: Convert to fraction form
    11,880.50/17,817.92 = 3,983.30/x
  3. Step 3: Cross multiply
    11,880.50x = 17,817.92 × 3,983.30
  4. Step 4: Simplify right side
    11,880.50x = 70,974,011.73
  5. Step 5: Solve for x
    x = 70,974,011.73/11,880.50
  6. Step 6: Final answer
    x = 5,973.99

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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.