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Finding the Fourth Proportional to 8,034.57, 12,051.95 and 2,836.80

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Solution

The fourth proportional to 8,034.57, 12,051.95 and 2,836.80 is: 4,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.57 : 12,051.95 = 2,836.80 : x
  2. Step 2: Convert to fraction form
    8,034.57/12,051.95 = 2,836.80/x
  3. Step 3: Cross multiply
    8,034.57x = 12,051.95 × 2,836.80
  4. Step 4: Simplify right side
    8,034.57x = 34,188,957.58
  5. Step 5: Solve for x
    x = 34,188,957.58/8,034.57
  6. Step 6: Final answer
    x = 4,255.23

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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.