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Finding the Fourth Proportional to 7,832.49, 11,748.17 and 3,673.44

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Solution

The fourth proportional to 7,832.49, 11,748.17 and 3,673.44 is: 5,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.49 : 11,748.17 = 3,673.44 : x
  2. Step 2: Convert to fraction form
    7,832.49/11,748.17 = 3,673.44/x
  3. Step 3: Cross multiply
    7,832.49x = 11,748.17 × 3,673.44
  4. Step 4: Simplify right side
    7,832.49x = 43,156,197.60
  5. Step 5: Solve for x
    x = 43,156,197.60/7,832.49
  6. Step 6: Final answer
    x = 5,509.90

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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.