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Finding the Fourth Proportional to 8,219.45, 12,327.57 and 6,841.64

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Solution

The fourth proportional to 8,219.45, 12,327.57 and 6,841.64 is: 10,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.45 : 12,327.57 = 6,841.64 : x
  2. Step 2: Convert to fraction form
    8,219.45/12,327.57 = 6,841.64/x
  3. Step 3: Cross multiply
    8,219.45x = 12,327.57 × 6,841.64
  4. Step 4: Simplify right side
    8,219.45x = 84,340,826.83
  5. Step 5: Solve for x
    x = 84,340,826.83/8,219.45
  6. Step 6: Final answer
    x = 10,261.12

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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.