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Finding the Fourth Proportional to 11,782.58, 17,676.49 and 3,887.55

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Solution

The fourth proportional to 11,782.58, 17,676.49 and 3,887.55 is: 5,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.58 : 17,676.49 = 3,887.55 : x
  2. Step 2: Convert to fraction form
    11,782.58/17,676.49 = 3,887.55/x
  3. Step 3: Cross multiply
    11,782.58x = 17,676.49 × 3,887.55
  4. Step 4: Simplify right side
    11,782.58x = 68,718,238.70
  5. Step 5: Solve for x
    x = 68,718,238.70/11,782.58
  6. Step 6: Final answer
    x = 5,832.19

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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.