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Finding the Fourth Proportional to 6,833.26, 10,229.94 and 5,196.22

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Solution

The fourth proportional to 6,833.26, 10,229.94 and 5,196.22 is: 7,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.26 : 10,229.94 = 5,196.22 : x
  2. Step 2: Convert to fraction form
    6,833.26/10,229.94 = 5,196.22/x
  3. Step 3: Cross multiply
    6,833.26x = 10,229.94 × 5,196.22
  4. Step 4: Simplify right side
    6,833.26x = 53,157,018.83
  5. Step 5: Solve for x
    x = 53,157,018.83/6,833.26
  6. Step 6: Final answer
    x = 7,779.16

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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.