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Finding the Fourth Proportional to 8,034.73, 12,053.52 and 2,770.31

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Solution

The fourth proportional to 8,034.73, 12,053.52 and 2,770.31 is: 4,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.73 : 12,053.52 = 2,770.31 : x
  2. Step 2: Convert to fraction form
    8,034.73/12,053.52 = 2,770.31/x
  3. Step 3: Cross multiply
    8,034.73x = 12,053.52 × 2,770.31
  4. Step 4: Simplify right side
    8,034.73x = 33,391,986.99
  5. Step 5: Solve for x
    x = 33,391,986.99/8,034.73
  6. Step 6: Final answer
    x = 4,155.96

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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.