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Finding the Fourth Proportional to 6,883.36, 10,325.04 and 2,782.24

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Solution

The fourth proportional to 6,883.36, 10,325.04 and 2,782.24 is: 4,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.36 : 10,325.04 = 2,782.24 : x
  2. Step 2: Convert to fraction form
    6,883.36/10,325.04 = 2,782.24/x
  3. Step 3: Cross multiply
    6,883.36x = 10,325.04 × 2,782.24
  4. Step 4: Simplify right side
    6,883.36x = 28,726,739.29
  5. Step 5: Solve for x
    x = 28,726,739.29/6,883.36
  6. Step 6: Final answer
    x = 4,173.36

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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.