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Finding the Fourth Proportional to 8,223.54, 12,333.25 and 3,226.92

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Solution

The fourth proportional to 8,223.54, 12,333.25 and 3,226.92 is: 4,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.54 : 12,333.25 = 3,226.92 : x
  2. Step 2: Convert to fraction form
    8,223.54/12,333.25 = 3,226.92/x
  3. Step 3: Cross multiply
    8,223.54x = 12,333.25 × 3,226.92
  4. Step 4: Simplify right side
    8,223.54x = 39,798,411.09
  5. Step 5: Solve for x
    x = 39,798,411.09/8,223.54
  6. Step 6: Final answer
    x = 4,839.57

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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.