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Finding the Fourth Proportional to 8,263.60, 12,399.94 and 3,583.64

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Solution

The fourth proportional to 8,263.60, 12,399.94 and 3,583.64 is: 5,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.60 : 12,399.94 = 3,583.64 : x
  2. Step 2: Convert to fraction form
    8,263.60/12,399.94 = 3,583.64/x
  3. Step 3: Cross multiply
    8,263.60x = 12,399.94 × 3,583.64
  4. Step 4: Simplify right side
    8,263.60x = 44,436,920.98
  5. Step 5: Solve for x
    x = 44,436,920.98/8,263.60
  6. Step 6: Final answer
    x = 5,377.43

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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.