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Finding the Fourth Proportional to 11,499.14, 17,204.96 and 7,105.70

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Solution

The fourth proportional to 11,499.14, 17,204.96 and 7,105.70 is: 10,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.14 : 17,204.96 = 7,105.70 : x
  2. Step 2: Convert to fraction form
    11,499.14/17,204.96 = 7,105.70/x
  3. Step 3: Cross multiply
    11,499.14x = 17,204.96 × 7,105.70
  4. Step 4: Simplify right side
    11,499.14x = 122,253,216.01
  5. Step 5: Solve for x
    x = 122,253,216.01/11,499.14
  6. Step 6: Final answer
    x = 10,631.51

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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.