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Finding the Fourth Proportional to 11,782.44, 17,676.63 and 3,462.72

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Solution

The fourth proportional to 11,782.44, 17,676.63 and 3,462.72 is: 5,194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.44 : 17,676.63 = 3,462.72 : x
  2. Step 2: Convert to fraction form
    11,782.44/17,676.63 = 3,462.72/x
  3. Step 3: Cross multiply
    11,782.44x = 17,676.63 × 3,462.72
  4. Step 4: Simplify right side
    11,782.44x = 61,209,131.85
  5. Step 5: Solve for x
    x = 61,209,131.85/11,782.44
  6. Step 6: Final answer
    x = 5,194.95

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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.