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Finding the Fourth Proportional to 7,713.36, 11,568.56 and 3,760.65

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Solution

The fourth proportional to 7,713.36, 11,568.56 and 3,760.65 is: 5,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.36 : 11,568.56 = 3,760.65 : x
  2. Step 2: Convert to fraction form
    7,713.36/11,568.56 = 3,760.65/x
  3. Step 3: Cross multiply
    7,713.36x = 11,568.56 × 3,760.65
  4. Step 4: Simplify right side
    7,713.36x = 43,505,314.57
  5. Step 5: Solve for x
    x = 43,505,314.57/7,713.36
  6. Step 6: Final answer
    x = 5,640.25

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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.