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Finding the Fourth Proportional to 8,283.12, 12,419.10 and 2,734.50

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Solution

The fourth proportional to 8,283.12, 12,419.10 and 2,734.50 is: 4,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.12 : 12,419.10 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    8,283.12/12,419.10 = 2,734.50/x
  3. Step 3: Cross multiply
    8,283.12x = 12,419.10 × 2,734.50
  4. Step 4: Simplify right side
    8,283.12x = 33,960,028.95
  5. Step 5: Solve for x
    x = 33,960,028.95/8,283.12
  6. Step 6: Final answer
    x = 4,099.91

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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.