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Finding the Fourth Proportional to 8,426.28, 12,640.82 and 4,209.72

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Solution

The fourth proportional to 8,426.28, 12,640.82 and 4,209.72 is: 6,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.28 : 12,640.82 = 4,209.72 : x
  2. Step 2: Convert to fraction form
    8,426.28/12,640.82 = 4,209.72/x
  3. Step 3: Cross multiply
    8,426.28x = 12,640.82 × 4,209.72
  4. Step 4: Simplify right side
    8,426.28x = 53,214,312.77
  5. Step 5: Solve for x
    x = 53,214,312.77/8,426.28
  6. Step 6: Final answer
    x = 6,315.28

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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.