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Finding the Fourth Proportional to 11,977.57, 16,525.39 and 6,940.82

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Solution

The fourth proportional to 11,977.57, 16,525.39 and 6,940.82 is: 9,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.57 : 16,525.39 = 6,940.82 : x
  2. Step 2: Convert to fraction form
    11,977.57/16,525.39 = 6,940.82/x
  3. Step 3: Cross multiply
    11,977.57x = 16,525.39 × 6,940.82
  4. Step 4: Simplify right side
    11,977.57x = 114,699,757.42
  5. Step 5: Solve for x
    x = 114,699,757.42/11,977.57
  6. Step 6: Final answer
    x = 9,576.21

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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.