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Finding the Fourth Proportional to 11,523.40, 17,286.01 and 5,676.82

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Solution

The fourth proportional to 11,523.40, 17,286.01 and 5,676.82 is: 8,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.40 : 17,286.01 = 5,676.82 : x
  2. Step 2: Convert to fraction form
    11,523.40/17,286.01 = 5,676.82/x
  3. Step 3: Cross multiply
    11,523.40x = 17,286.01 × 5,676.82
  4. Step 4: Simplify right side
    11,523.40x = 98,129,509.88
  5. Step 5: Solve for x
    x = 98,129,509.88/11,523.40
  6. Step 6: Final answer
    x = 8,515.68

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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.