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Finding the Fourth Proportional to 8,179.45, 11,286.80 and 4,594.81

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Solution

The fourth proportional to 8,179.45, 11,286.80 and 4,594.81 is: 6,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.45 : 11,286.80 = 4,594.81 : x
  2. Step 2: Convert to fraction form
    8,179.45/11,286.80 = 4,594.81/x
  3. Step 3: Cross multiply
    8,179.45x = 11,286.80 × 4,594.81
  4. Step 4: Simplify right side
    8,179.45x = 51,860,650.32
  5. Step 5: Solve for x
    x = 51,860,650.32/8,179.45
  6. Step 6: Final answer
    x = 6,340.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.