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Finding the Fourth Proportional to 6,779.25, 10,169.06 and 2,162.25

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Solution

The fourth proportional to 6,779.25, 10,169.06 and 2,162.25 is: 3,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.25 : 10,169.06 = 2,162.25 : x
  2. Step 2: Convert to fraction form
    6,779.25/10,169.06 = 2,162.25/x
  3. Step 3: Cross multiply
    6,779.25x = 10,169.06 × 2,162.25
  4. Step 4: Simplify right side
    6,779.25x = 21,988,039.17
  5. Step 5: Solve for x
    x = 21,988,039.17/6,779.25
  6. Step 6: Final answer
    x = 3,243.43

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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.