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Finding the Fourth Proportional to 7,918.44, 11,874.24 and 3,174

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Solution

The fourth proportional to 7,918.44, 11,874.24 and 3,174 is: 4,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.44 : 11,874.24 = 3,174 : x
  2. Step 2: Convert to fraction form
    7,918.44/11,874.24 = 3,174/x
  3. Step 3: Cross multiply
    7,918.44x = 11,874.24 × 3,174
  4. Step 4: Simplify right side
    7,918.44x = 37,688,837.76
  5. Step 5: Solve for x
    x = 37,688,837.76/7,918.44
  6. Step 6: Final answer
    x = 4,759.63

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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.