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Finding the Fourth Proportional to 8,285.18, 12,410.82 and 6,894.05

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Solution

The fourth proportional to 8,285.18, 12,410.82 and 6,894.05 is: 10,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.18 : 12,410.82 = 6,894.05 : x
  2. Step 2: Convert to fraction form
    8,285.18/12,410.82 = 6,894.05/x
  3. Step 3: Cross multiply
    8,285.18x = 12,410.82 × 6,894.05
  4. Step 4: Simplify right side
    8,285.18x = 85,560,751.57
  5. Step 5: Solve for x
    x = 85,560,751.57/8,285.18
  6. Step 6: Final answer
    x = 10,326.97

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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.