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Finding the Fourth Proportional to 7,669.72, 11,493.78 and 3,499.48

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Solution

The fourth proportional to 7,669.72, 11,493.78 and 3,499.48 is: 5,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.72 : 11,493.78 = 3,499.48 : x
  2. Step 2: Convert to fraction form
    7,669.72/11,493.78 = 3,499.48/x
  3. Step 3: Cross multiply
    7,669.72x = 11,493.78 × 3,499.48
  4. Step 4: Simplify right side
    7,669.72x = 40,222,253.23
  5. Step 5: Solve for x
    x = 40,222,253.23/7,669.72
  6. Step 6: Final answer
    x = 5,244.29

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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.