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Finding the Fourth Proportional to 6,968.62, 10,450.50 and 2,287.36

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Solution

The fourth proportional to 6,968.62, 10,450.50 and 2,287.36 is: 3,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.62 : 10,450.50 = 2,287.36 : x
  2. Step 2: Convert to fraction form
    6,968.62/10,450.50 = 2,287.36/x
  3. Step 3: Cross multiply
    6,968.62x = 10,450.50 × 2,287.36
  4. Step 4: Simplify right side
    6,968.62x = 23,904,055.68
  5. Step 5: Solve for x
    x = 23,904,055.68/6,968.62
  6. Step 6: Final answer
    x = 3,430.24

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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.