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Finding the Fourth Proportional to 8,336.20, 12,493.38 and 3,400

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Solution

The fourth proportional to 8,336.20, 12,493.38 and 3,400 is: 5,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.20 : 12,493.38 = 3,400 : x
  2. Step 2: Convert to fraction form
    8,336.20/12,493.38 = 3,400/x
  3. Step 3: Cross multiply
    8,336.20x = 12,493.38 × 3,400
  4. Step 4: Simplify right side
    8,336.20x = 42,477,492
  5. Step 5: Solve for x
    x = 42,477,492/8,336.20
  6. Step 6: Final answer
    x = 5,095.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.