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Finding the Fourth Proportional to 11,697.53, 17,553.20 and 6,151.30

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Solution

The fourth proportional to 11,697.53, 17,553.20 and 6,151.30 is: 9,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.53 : 17,553.20 = 6,151.30 : x
  2. Step 2: Convert to fraction form
    11,697.53/17,553.20 = 6,151.30/x
  3. Step 3: Cross multiply
    11,697.53x = 17,553.20 × 6,151.30
  4. Step 4: Simplify right side
    11,697.53x = 107,974,967.14
  5. Step 5: Solve for x
    x = 107,974,967.14/11,697.53
  6. Step 6: Final answer
    x = 9,230.58

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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.