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Finding the Fourth Proportional to 6,226.41, 8,600.83 and 5,783.54

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Solution

The fourth proportional to 6,226.41, 8,600.83 and 5,783.54 is: 7,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.41 : 8,600.83 = 5,783.54 : x
  2. Step 2: Convert to fraction form
    6,226.41/8,600.83 = 5,783.54/x
  3. Step 3: Cross multiply
    6,226.41x = 8,600.83 × 5,783.54
  4. Step 4: Simplify right side
    6,226.41x = 49,743,244.34
  5. Step 5: Solve for x
    x = 49,743,244.34/6,226.41
  6. Step 6: Final answer
    x = 7,989.07

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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.