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Finding the Fourth Proportional to 8,381.38, 12,573.87 and 2,834.45

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Solution

The fourth proportional to 8,381.38, 12,573.87 and 2,834.45 is: 4,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.38 : 12,573.87 = 2,834.45 : x
  2. Step 2: Convert to fraction form
    8,381.38/12,573.87 = 2,834.45/x
  3. Step 3: Cross multiply
    8,381.38x = 12,573.87 × 2,834.45
  4. Step 4: Simplify right side
    8,381.38x = 35,640,005.82
  5. Step 5: Solve for x
    x = 35,640,005.82/8,381.38
  6. Step 6: Final answer
    x = 4,252.28

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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.