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Finding the Fourth Proportional to 11,523.89, 17,285.02 and 6,578.03

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Solution

The fourth proportional to 11,523.89, 17,285.02 and 6,578.03 is: 9,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.89 : 17,285.02 = 6,578.03 : x
  2. Step 2: Convert to fraction form
    11,523.89/17,285.02 = 6,578.03/x
  3. Step 3: Cross multiply
    11,523.89x = 17,285.02 × 6,578.03
  4. Step 4: Simplify right side
    11,523.89x = 113,701,380.11
  5. Step 5: Solve for x
    x = 113,701,380.11/11,523.89
  6. Step 6: Final answer
    x = 9,866.58

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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.