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Finding the Fourth Proportional to 8,289.25, 12,433.88 and 2,817.25

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Solution

The fourth proportional to 8,289.25, 12,433.88 and 2,817.25 is: 4,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.25 : 12,433.88 = 2,817.25 : x
  2. Step 2: Convert to fraction form
    8,289.25/12,433.88 = 2,817.25/x
  3. Step 3: Cross multiply
    8,289.25x = 12,433.88 × 2,817.25
  4. Step 4: Simplify right side
    8,289.25x = 35,029,348.43
  5. Step 5: Solve for x
    x = 35,029,348.43/8,289.25
  6. Step 6: Final answer
    x = 4,225.88

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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.