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Finding the Fourth Proportional to 6,782.56, 10,173.72 and 2,165.56

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Solution

The fourth proportional to 6,782.56, 10,173.72 and 2,165.56 is: 3,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.56 : 10,173.72 = 2,165.56 : x
  2. Step 2: Convert to fraction form
    6,782.56/10,173.72 = 2,165.56/x
  3. Step 3: Cross multiply
    6,782.56x = 10,173.72 × 2,165.56
  4. Step 4: Simplify right side
    6,782.56x = 22,031,801.08
  5. Step 5: Solve for x
    x = 22,031,801.08/6,782.56
  6. Step 6: Final answer
    x = 3,248.30

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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.