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Finding the Fourth Proportional to 11,911.08, 16,431.90 and 7,435.94

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Solution

The fourth proportional to 11,911.08, 16,431.90 and 7,435.94 is: 10,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.08 : 16,431.90 = 7,435.94 : x
  2. Step 2: Convert to fraction form
    11,911.08/16,431.90 = 7,435.94/x
  3. Step 3: Cross multiply
    11,911.08x = 16,431.90 × 7,435.94
  4. Step 4: Simplify right side
    11,911.08x = 122,186,540.33
  5. Step 5: Solve for x
    x = 122,186,540.33/11,911.08
  6. Step 6: Final answer
    x = 10,258.23

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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.