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Finding the Fourth Proportional to 7,867.48, 11,804.14 and 3,481.80

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Solution

The fourth proportional to 7,867.48, 11,804.14 and 3,481.80 is: 5,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.48 : 11,804.14 = 3,481.80 : x
  2. Step 2: Convert to fraction form
    7,867.48/11,804.14 = 3,481.80/x
  3. Step 3: Cross multiply
    7,867.48x = 11,804.14 × 3,481.80
  4. Step 4: Simplify right side
    7,867.48x = 41,099,654.65
  5. Step 5: Solve for x
    x = 41,099,654.65/7,867.48
  6. Step 6: Final answer
    x = 5,223.99

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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.