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Finding the Fourth Proportional to 8,037.64, 12,057.27 and 2,771.96

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Solution

The fourth proportional to 8,037.64, 12,057.27 and 2,771.96 is: 4,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.64 : 12,057.27 = 2,771.96 : x
  2. Step 2: Convert to fraction form
    8,037.64/12,057.27 = 2,771.96/x
  3. Step 3: Cross multiply
    8,037.64x = 12,057.27 × 2,771.96
  4. Step 4: Simplify right side
    8,037.64x = 33,422,254.23
  5. Step 5: Solve for x
    x = 33,422,254.23/8,037.64
  6. Step 6: Final answer
    x = 4,158.22

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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.