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Finding the Fourth Proportional to 8,224.63, 12,337.07 and 2,381.26

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Solution

The fourth proportional to 8,224.63, 12,337.07 and 2,381.26 is: 3,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.63 : 12,337.07 = 2,381.26 : x
  2. Step 2: Convert to fraction form
    8,224.63/12,337.07 = 2,381.26/x
  3. Step 3: Cross multiply
    8,224.63x = 12,337.07 × 2,381.26
  4. Step 4: Simplify right side
    8,224.63x = 29,377,771.31
  5. Step 5: Solve for x
    x = 29,377,771.31/8,224.63
  6. Step 6: Final answer
    x = 3,571.93

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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.