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Finding the Fourth Proportional to 6,883.44, 10,323.52 and 3,182.16

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Solution

The fourth proportional to 6,883.44, 10,323.52 and 3,182.16 is: 4,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.44 : 10,323.52 = 3,182.16 : x
  2. Step 2: Convert to fraction form
    6,883.44/10,323.52 = 3,182.16/x
  3. Step 3: Cross multiply
    6,883.44x = 10,323.52 × 3,182.16
  4. Step 4: Simplify right side
    6,883.44x = 32,851,092.40
  5. Step 5: Solve for x
    x = 32,851,092.40/6,883.44
  6. Step 6: Final answer
    x = 4,772.48

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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.