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Finding the Fourth Proportional to 11,704.10, 17,540.66 and 6,146.09

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Solution

The fourth proportional to 11,704.10, 17,540.66 and 6,146.09 is: 9,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.10 : 17,540.66 = 6,146.09 : x
  2. Step 2: Convert to fraction form
    11,704.10/17,540.66 = 6,146.09/x
  3. Step 3: Cross multiply
    11,704.10x = 17,540.66 × 6,146.09
  4. Step 4: Simplify right side
    11,704.10x = 107,806,402.68
  5. Step 5: Solve for x
    x = 107,806,402.68/11,704.10
  6. Step 6: Final answer
    x = 9,210.99

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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.