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Finding the Fourth Proportional to 6,884.36, 10,326.54 and 2,783.24

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Solution

The fourth proportional to 6,884.36, 10,326.54 and 2,783.24 is: 4,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.36 : 10,326.54 = 2,783.24 : x
  2. Step 2: Convert to fraction form
    6,884.36/10,326.54 = 2,783.24/x
  3. Step 3: Cross multiply
    6,884.36x = 10,326.54 × 2,783.24
  4. Step 4: Simplify right side
    6,884.36x = 28,741,239.19
  5. Step 5: Solve for x
    x = 28,741,239.19/6,884.36
  6. Step 6: Final answer
    x = 4,174.86

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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.