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Finding the Fourth Proportional to 11,879.36, 16,392.96 and 7,162.56

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Solution

The fourth proportional to 11,879.36, 16,392.96 and 7,162.56 is: 9,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.36 : 16,392.96 = 7,162.56 : x
  2. Step 2: Convert to fraction form
    11,879.36/16,392.96 = 7,162.56/x
  3. Step 3: Cross multiply
    11,879.36x = 16,392.96 × 7,162.56
  4. Step 4: Simplify right side
    11,879.36x = 117,415,559.58
  5. Step 5: Solve for x
    x = 117,415,559.58/11,879.36
  6. Step 6: Final answer
    x = 9,884.00

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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.