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Finding the Fourth Proportional to 7,604.58, 11,414.05 and 3,909.41

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Solution

The fourth proportional to 7,604.58, 11,414.05 and 3,909.41 is: 5,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.58 : 11,414.05 = 3,909.41 : x
  2. Step 2: Convert to fraction form
    7,604.58/11,414.05 = 3,909.41/x
  3. Step 3: Cross multiply
    7,604.58x = 11,414.05 × 3,909.41
  4. Step 4: Simplify right side
    7,604.58x = 44,622,201.21
  5. Step 5: Solve for x
    x = 44,622,201.21/7,604.58
  6. Step 6: Final answer
    x = 5,867.81

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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.