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Finding the Fourth Proportional to 6,782.25, 10,173.56 and 2,165.25

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Solution

The fourth proportional to 6,782.25, 10,173.56 and 2,165.25 is: 3,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.25 : 10,173.56 = 2,165.25 : x
  2. Step 2: Convert to fraction form
    6,782.25/10,173.56 = 2,165.25/x
  3. Step 3: Cross multiply
    6,782.25x = 10,173.56 × 2,165.25
  4. Step 4: Simplify right side
    6,782.25x = 22,028,289.96
  5. Step 5: Solve for x
    x = 22,028,289.96/6,782.25
  6. Step 6: Final answer
    x = 3,247.93

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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.