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Finding the Fourth Proportional to 6,782.17, 10,173.88 and 2,102.21

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Solution

The fourth proportional to 6,782.17, 10,173.88 and 2,102.21 is: 3,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.17 : 10,173.88 = 2,102.21 : x
  2. Step 2: Convert to fraction form
    6,782.17/10,173.88 = 2,102.21/x
  3. Step 3: Cross multiply
    6,782.17x = 10,173.88 × 2,102.21
  4. Step 4: Simplify right side
    6,782.17x = 21,387,660.34
  5. Step 5: Solve for x
    x = 21,387,660.34/6,782.17
  6. Step 6: Final answer
    x = 3,153.51

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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.