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Finding the Fourth Proportional to 11,761.94, 16,230.14 and 6,980.16

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Solution

The fourth proportional to 11,761.94, 16,230.14 and 6,980.16 is: 9,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.94 : 16,230.14 = 6,980.16 : x
  2. Step 2: Convert to fraction form
    11,761.94/16,230.14 = 6,980.16/x
  3. Step 3: Cross multiply
    11,761.94x = 16,230.14 × 6,980.16
  4. Step 4: Simplify right side
    11,761.94x = 113,288,974.02
  5. Step 5: Solve for x
    x = 113,288,974.02/11,761.94
  6. Step 6: Final answer
    x = 9,631.83

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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.