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Finding the Fourth Proportional to 7,847.58, 10,819.08 and 6,723.66

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Solution

The fourth proportional to 7,847.58, 10,819.08 and 6,723.66 is: 9,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.58 : 10,819.08 = 6,723.66 : x
  2. Step 2: Convert to fraction form
    7,847.58/10,819.08 = 6,723.66/x
  3. Step 3: Cross multiply
    7,847.58x = 10,819.08 × 6,723.66
  4. Step 4: Simplify right side
    7,847.58x = 72,743,815.43
  5. Step 5: Solve for x
    x = 72,743,815.43/7,847.58
  6. Step 6: Final answer
    x = 9,269.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.