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Finding the Fourth Proportional to 6,783.77, 10,166.33 and 3,489.90

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Solution

The fourth proportional to 6,783.77, 10,166.33 and 3,489.90 is: 5,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.77 : 10,166.33 = 3,489.90 : x
  2. Step 2: Convert to fraction form
    6,783.77/10,166.33 = 3,489.90/x
  3. Step 3: Cross multiply
    6,783.77x = 10,166.33 × 3,489.90
  4. Step 4: Simplify right side
    6,783.77x = 35,479,457.62
  5. Step 5: Solve for x
    x = 35,479,457.62/6,783.77
  6. Step 6: Final answer
    x = 5,230.05

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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.