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Finding the Fourth Proportional to 11,890.81, 16,399.07 and 7,409.89

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Solution

The fourth proportional to 11,890.81, 16,399.07 and 7,409.89 is: 10,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.81 : 16,399.07 = 7,409.89 : x
  2. Step 2: Convert to fraction form
    11,890.81/16,399.07 = 7,409.89/x
  3. Step 3: Cross multiply
    11,890.81x = 16,399.07 × 7,409.89
  4. Step 4: Simplify right side
    11,890.81x = 121,515,241.33
  5. Step 5: Solve for x
    x = 121,515,241.33/11,890.81
  6. Step 6: Final answer
    x = 10,219.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.