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Finding the Fourth Proportional to 8,426.46, 12,639.72 and 8,223.48

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Solution

The fourth proportional to 8,426.46, 12,639.72 and 8,223.48 is: 12,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.46 : 12,639.72 = 8,223.48 : x
  2. Step 2: Convert to fraction form
    8,426.46/12,639.72 = 8,223.48/x
  3. Step 3: Cross multiply
    8,426.46x = 12,639.72 × 8,223.48
  4. Step 4: Simplify right side
    8,426.46x = 103,942,484.63
  5. Step 5: Solve for x
    x = 103,942,484.63/8,426.46
  6. Step 6: Final answer
    x = 12,335.25

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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.