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Finding the Fourth Proportional to 11,883.96, 16,400.22 and 6,578.67

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Solution

The fourth proportional to 11,883.96, 16,400.22 and 6,578.67 is: 9,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.96 : 16,400.22 = 6,578.67 : x
  2. Step 2: Convert to fraction form
    11,883.96/16,400.22 = 6,578.67/x
  3. Step 3: Cross multiply
    11,883.96x = 16,400.22 × 6,578.67
  4. Step 4: Simplify right side
    11,883.96x = 107,891,635.31
  5. Step 5: Solve for x
    x = 107,891,635.31/11,883.96
  6. Step 6: Final answer
    x = 9,078.76

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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.