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Finding the Fourth Proportional to 11,782.29, 17,644.03 and 8,255.76

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Solution

The fourth proportional to 11,782.29, 17,644.03 and 8,255.76 is: 12,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.29 : 17,644.03 = 8,255.76 : x
  2. Step 2: Convert to fraction form
    11,782.29/17,644.03 = 8,255.76/x
  3. Step 3: Cross multiply
    11,782.29x = 17,644.03 × 8,255.76
  4. Step 4: Simplify right side
    11,782.29x = 145,664,877.11
  5. Step 5: Solve for x
    x = 145,664,877.11/11,782.29
  6. Step 6: Final answer
    x = 12,363.04

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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.