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Finding the Fourth Proportional to 7,874.73, 11,804.00 and 3,494.25

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Solution

The fourth proportional to 7,874.73, 11,804.00 and 3,494.25 is: 5,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.73 : 11,804.00 = 3,494.25 : x
  2. Step 2: Convert to fraction form
    7,874.73/11,804.00 = 3,494.25/x
  3. Step 3: Cross multiply
    7,874.73x = 11,804.00 × 3,494.25
  4. Step 4: Simplify right side
    7,874.73x = 41,246,109.53
  5. Step 5: Solve for x
    x = 41,246,109.53/7,874.73
  6. Step 6: Final answer
    x = 5,237.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.