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Finding the Fourth Proportional to 8,051.46, 12,076.38 and 2,505

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Solution

The fourth proportional to 8,051.46, 12,076.38 and 2,505 is: 3,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.46 : 12,076.38 = 2,505 : x
  2. Step 2: Convert to fraction form
    8,051.46/12,076.38 = 2,505/x
  3. Step 3: Cross multiply
    8,051.46x = 12,076.38 × 2,505
  4. Step 4: Simplify right side
    8,051.46x = 30,251,331.90
  5. Step 5: Solve for x
    x = 30,251,331.90/8,051.46
  6. Step 6: Final answer
    x = 3,757.25

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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.