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Finding the Fourth Proportional to 11,879.82, 16,394.04 and 6,574.50

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Solution

The fourth proportional to 11,879.82, 16,394.04 and 6,574.50 is: 9,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.82 : 16,394.04 = 6,574.50 : x
  2. Step 2: Convert to fraction form
    11,879.82/16,394.04 = 6,574.50/x
  3. Step 3: Cross multiply
    11,879.82x = 16,394.04 × 6,574.50
  4. Step 4: Simplify right side
    11,879.82x = 107,782,615.98
  5. Step 5: Solve for x
    x = 107,782,615.98/11,879.82
  6. Step 6: Final answer
    x = 9,072.75

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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.