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Finding the Fourth Proportional to 8,336.39, 12,506.27 and 3,406.42

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Solution

The fourth proportional to 8,336.39, 12,506.27 and 3,406.42 is: 5,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.39 : 12,506.27 = 3,406.42 : x
  2. Step 2: Convert to fraction form
    8,336.39/12,506.27 = 3,406.42/x
  3. Step 3: Cross multiply
    8,336.39x = 12,506.27 × 3,406.42
  4. Step 4: Simplify right side
    8,336.39x = 42,601,606.85
  5. Step 5: Solve for x
    x = 42,601,606.85/8,336.39
  6. Step 6: Final answer
    x = 5,110.32

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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.