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Finding the Fourth Proportional to 11,911.37, 16,433.42 and 7,431.48

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Solution

The fourth proportional to 11,911.37, 16,433.42 and 7,431.48 is: 10,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.37 : 16,433.42 = 7,431.48 : x
  2. Step 2: Convert to fraction form
    11,911.37/16,433.42 = 7,431.48/x
  3. Step 3: Cross multiply
    11,911.37x = 16,433.42 × 7,431.48
  4. Step 4: Simplify right side
    11,911.37x = 122,124,594.90
  5. Step 5: Solve for x
    x = 122,124,594.90/11,911.37
  6. Step 6: Final answer
    x = 10,252.78

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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.