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Finding the Fourth Proportional to 11,679.36, 17,505.92 and 7,684.48

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Solution

The fourth proportional to 11,679.36, 17,505.92 and 7,684.48 is: 11,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.36 : 17,505.92 = 7,684.48 : x
  2. Step 2: Convert to fraction form
    11,679.36/17,505.92 = 7,684.48/x
  3. Step 3: Cross multiply
    11,679.36x = 17,505.92 × 7,684.48
  4. Step 4: Simplify right side
    11,679.36x = 134,523,892.12
  5. Step 5: Solve for x
    x = 134,523,892.12/11,679.36
  6. Step 6: Final answer
    x = 11,518.09

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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.