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Finding the Fourth Proportional to 8,406.94, 12,604.57 and 3,724.41

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Solution

The fourth proportional to 8,406.94, 12,604.57 and 3,724.41 is: 5,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.94 : 12,604.57 = 3,724.41 : x
  2. Step 2: Convert to fraction form
    8,406.94/12,604.57 = 3,724.41/x
  3. Step 3: Cross multiply
    8,406.94x = 12,604.57 × 3,724.41
  4. Step 4: Simplify right side
    8,406.94x = 46,944,586.55
  5. Step 5: Solve for x
    x = 46,944,586.55/8,406.94
  6. Step 6: Final answer
    x = 5,584.03

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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.