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Finding the Fourth Proportional to 8,280.42, 12,420.83 and 2,734.24

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Solution

The fourth proportional to 8,280.42, 12,420.83 and 2,734.24 is: 4,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.42 : 12,420.83 = 2,734.24 : x
  2. Step 2: Convert to fraction form
    8,280.42/12,420.83 = 2,734.24/x
  3. Step 3: Cross multiply
    8,280.42x = 12,420.83 × 2,734.24
  4. Step 4: Simplify right side
    8,280.42x = 33,961,530.22
  5. Step 5: Solve for x
    x = 33,961,530.22/8,280.42
  6. Step 6: Final answer
    x = 4,101.43

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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.