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Finding the Fourth Proportional to 11,786.56, 16,268.34 and 7,069.84

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Solution

The fourth proportional to 11,786.56, 16,268.34 and 7,069.84 is: 9,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.56 : 16,268.34 = 7,069.84 : x
  2. Step 2: Convert to fraction form
    11,786.56/16,268.34 = 7,069.84/x
  3. Step 3: Cross multiply
    11,786.56x = 16,268.34 × 7,069.84
  4. Step 4: Simplify right side
    11,786.56x = 115,014,560.87
  5. Step 5: Solve for x
    x = 115,014,560.87/11,786.56
  6. Step 6: Final answer
    x = 9,758.11

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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.