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Finding the Fourth Proportional to 12,083.46, 16,674.05 and 6,777.24

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Solution

The fourth proportional to 12,083.46, 16,674.05 and 6,777.24 is: 9,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.46 : 16,674.05 = 6,777.24 : x
  2. Step 2: Convert to fraction form
    12,083.46/16,674.05 = 6,777.24/x
  3. Step 3: Cross multiply
    12,083.46x = 16,674.05 × 6,777.24
  4. Step 4: Simplify right side
    12,083.46x = 113,004,004.74
  5. Step 5: Solve for x
    x = 113,004,004.74/12,083.46
  6. Step 6: Final answer
    x = 9,351.96

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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.