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Finding the Fourth Proportional to 7,786.68, 11,664.90 and 6,914.04

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Solution

The fourth proportional to 7,786.68, 11,664.90 and 6,914.04 is: 10,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.68 : 11,664.90 = 6,914.04 : x
  2. Step 2: Convert to fraction form
    7,786.68/11,664.90 = 6,914.04/x
  3. Step 3: Cross multiply
    7,786.68x = 11,664.90 × 6,914.04
  4. Step 4: Simplify right side
    7,786.68x = 80,651,585.20
  5. Step 5: Solve for x
    x = 80,651,585.20/7,786.68
  6. Step 6: Final answer
    x = 10,357.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.