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Finding the Fourth Proportional to 8,108.89, 12,164.46 and 2,842.68

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Solution

The fourth proportional to 8,108.89, 12,164.46 and 2,842.68 is: 4,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.89 : 12,164.46 = 2,842.68 : x
  2. Step 2: Convert to fraction form
    8,108.89/12,164.46 = 2,842.68/x
  3. Step 3: Cross multiply
    8,108.89x = 12,164.46 × 2,842.68
  4. Step 4: Simplify right side
    8,108.89x = 34,579,667.15
  5. Step 5: Solve for x
    x = 34,579,667.15/8,108.89
  6. Step 6: Final answer
    x = 4,264.41

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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.