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Finding the Fourth Proportional to 11,697.72, 17,546.58 and 3,489.72

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Solution

The fourth proportional to 11,697.72, 17,546.58 and 3,489.72 is: 5,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.72 : 17,546.58 = 3,489.72 : x
  2. Step 2: Convert to fraction form
    11,697.72/17,546.58 = 3,489.72/x
  3. Step 3: Cross multiply
    11,697.72x = 17,546.58 × 3,489.72
  4. Step 4: Simplify right side
    11,697.72x = 61,232,651.16
  5. Step 5: Solve for x
    x = 61,232,651.16/11,697.72
  6. Step 6: Final answer
    x = 5,234.58

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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.