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Finding the Fourth Proportional to 11,616.48, 17,409.60 and 5,035.68

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Solution

The fourth proportional to 11,616.48, 17,409.60 and 5,035.68 is: 7,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.48 : 17,409.60 = 5,035.68 : x
  2. Step 2: Convert to fraction form
    11,616.48/17,409.60 = 5,035.68/x
  3. Step 3: Cross multiply
    11,616.48x = 17,409.60 × 5,035.68
  4. Step 4: Simplify right side
    11,616.48x = 87,669,174.53
  5. Step 5: Solve for x
    x = 87,669,174.53/11,616.48
  6. Step 6: Final answer
    x = 7,546.97

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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.