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Finding the Fourth Proportional to 8,128.31, 12,186.99 and 3,449.34

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Solution

The fourth proportional to 8,128.31, 12,186.99 and 3,449.34 is: 5,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.31 : 12,186.99 = 3,449.34 : x
  2. Step 2: Convert to fraction form
    8,128.31/12,186.99 = 3,449.34/x
  3. Step 3: Cross multiply
    8,128.31x = 12,186.99 × 3,449.34
  4. Step 4: Simplify right side
    8,128.31x = 42,037,072.09
  5. Step 5: Solve for x
    x = 42,037,072.09/8,128.31
  6. Step 6: Final answer
    x = 5,171.69

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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.