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Finding the Fourth Proportional to 11,977.80, 16,524.82 and 7,260.36

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Solution

The fourth proportional to 11,977.80, 16,524.82 and 7,260.36 is: 10,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.80 : 16,524.82 = 7,260.36 : x
  2. Step 2: Convert to fraction form
    11,977.80/16,524.82 = 7,260.36/x
  3. Step 3: Cross multiply
    11,977.80x = 16,524.82 × 7,260.36
  4. Step 4: Simplify right side
    11,977.80x = 119,976,142.14
  5. Step 5: Solve for x
    x = 119,976,142.14/11,977.80
  6. Step 6: Final answer
    x = 10,016.54

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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.