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Finding the Fourth Proportional to 11,684.98, 16,125.49 and 6,379.99

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Solution

The fourth proportional to 11,684.98, 16,125.49 and 6,379.99 is: 8,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.98 : 16,125.49 = 6,379.99 : x
  2. Step 2: Convert to fraction form
    11,684.98/16,125.49 = 6,379.99/x
  3. Step 3: Cross multiply
    11,684.98x = 16,125.49 × 6,379.99
  4. Step 4: Simplify right side
    11,684.98x = 102,880,464.95
  5. Step 5: Solve for x
    x = 102,880,464.95/11,684.98
  6. Step 6: Final answer
    x = 8,804.51

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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.