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Finding the Fourth Proportional to 8,426.28, 11,623.86 and 6,433.40

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Solution

The fourth proportional to 8,426.28, 11,623.86 and 6,433.40 is: 8,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.28 : 11,623.86 = 6,433.40 : x
  2. Step 2: Convert to fraction form
    8,426.28/11,623.86 = 6,433.40/x
  3. Step 3: Cross multiply
    8,426.28x = 11,623.86 × 6,433.40
  4. Step 4: Simplify right side
    8,426.28x = 74,780,940.92
  5. Step 5: Solve for x
    x = 74,780,940.92/8,426.28
  6. Step 6: Final answer
    x = 8,874.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.