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Finding the Fourth Proportional to 8,369.56, 12,546.36 and 2,820.05

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Solution

The fourth proportional to 8,369.56, 12,546.36 and 2,820.05 is: 4,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.56 : 12,546.36 = 2,820.05 : x
  2. Step 2: Convert to fraction form
    8,369.56/12,546.36 = 2,820.05/x
  3. Step 3: Cross multiply
    8,369.56x = 12,546.36 × 2,820.05
  4. Step 4: Simplify right side
    8,369.56x = 35,381,346.84
  5. Step 5: Solve for x
    x = 35,381,346.84/8,369.56
  6. Step 6: Final answer
    x = 4,227.38

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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.