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Finding the Fourth Proportional to 12,162.87, 16,783.34 and 6,857.37

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Solution

The fourth proportional to 12,162.87, 16,783.34 and 6,857.37 is: 9,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.87 : 16,783.34 = 6,857.37 : x
  2. Step 2: Convert to fraction form
    12,162.87/16,783.34 = 6,857.37/x
  3. Step 3: Cross multiply
    12,162.87x = 16,783.34 × 6,857.37
  4. Step 4: Simplify right side
    12,162.87x = 115,089,537.93
  5. Step 5: Solve for x
    x = 115,089,537.93/12,162.87
  6. Step 6: Final answer
    x = 9,462.37

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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.