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Finding the Fourth Proportional to 11,873.25, 16,388.73 and 7,161.48

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Solution

The fourth proportional to 11,873.25, 16,388.73 and 7,161.48 is: 9,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.25 : 16,388.73 = 7,161.48 : x
  2. Step 2: Convert to fraction form
    11,873.25/16,388.73 = 7,161.48/x
  3. Step 3: Cross multiply
    11,873.25x = 16,388.73 × 7,161.48
  4. Step 4: Simplify right side
    11,873.25x = 117,367,562.12
  5. Step 5: Solve for x
    x = 117,367,562.12/11,873.25
  6. Step 6: Final answer
    x = 9,885.04

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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.