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Finding the Fourth Proportional to 7,847.33, 11,775.11 and 3,467.79

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Solution

The fourth proportional to 7,847.33, 11,775.11 and 3,467.79 is: 5,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.33 : 11,775.11 = 3,467.79 : x
  2. Step 2: Convert to fraction form
    7,847.33/11,775.11 = 3,467.79/x
  3. Step 3: Cross multiply
    7,847.33x = 11,775.11 × 3,467.79
  4. Step 4: Simplify right side
    7,847.33x = 40,833,591.37
  5. Step 5: Solve for x
    x = 40,833,591.37/7,847.33
  6. Step 6: Final answer
    x = 5,203.50

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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.