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Finding the Fourth Proportional to 11,806.40, 17,701.38 and 5,229.02

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Solution

The fourth proportional to 11,806.40, 17,701.38 and 5,229.02 is: 7,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.40 : 17,701.38 = 5,229.02 : x
  2. Step 2: Convert to fraction form
    11,806.40/17,701.38 = 5,229.02/x
  3. Step 3: Cross multiply
    11,806.40x = 17,701.38 × 5,229.02
  4. Step 4: Simplify right side
    11,806.40x = 92,560,870.05
  5. Step 5: Solve for x
    x = 92,560,870.05/11,806.40
  6. Step 6: Final answer
    x = 7,839.89

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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.