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Finding the Fourth Proportional to 8,513.56, 12,770.34 and 2,273.60

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Solution

The fourth proportional to 8,513.56, 12,770.34 and 2,273.60 is: 3,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.56 : 12,770.34 = 2,273.60 : x
  2. Step 2: Convert to fraction form
    8,513.56/12,770.34 = 2,273.60/x
  3. Step 3: Cross multiply
    8,513.56x = 12,770.34 × 2,273.60
  4. Step 4: Simplify right side
    8,513.56x = 29,034,645.02
  5. Step 5: Solve for x
    x = 29,034,645.02/8,513.56
  6. Step 6: Final answer
    x = 3,410.40

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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.