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Finding the Fourth Proportional to 11,863.94, 16,370.49 and 6,759.50

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Solution

The fourth proportional to 11,863.94, 16,370.49 and 6,759.50 is: 9,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.94 : 16,370.49 = 6,759.50 : x
  2. Step 2: Convert to fraction form
    11,863.94/16,370.49 = 6,759.50/x
  3. Step 3: Cross multiply
    11,863.94x = 16,370.49 × 6,759.50
  4. Step 4: Simplify right side
    11,863.94x = 110,656,327.16
  5. Step 5: Solve for x
    x = 110,656,327.16/11,863.94
  6. Step 6: Final answer
    x = 9,327.11

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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.