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Finding the Fourth Proportional to 6,783.96, 10,176.34 and 3,086.48

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Solution

The fourth proportional to 6,783.96, 10,176.34 and 3,086.48 is: 4,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.96 : 10,176.34 = 3,086.48 : x
  2. Step 2: Convert to fraction form
    6,783.96/10,176.34 = 3,086.48/x
  3. Step 3: Cross multiply
    6,783.96x = 10,176.34 × 3,086.48
  4. Step 4: Simplify right side
    6,783.96x = 31,409,069.88
  5. Step 5: Solve for x
    x = 31,409,069.88/6,783.96
  6. Step 6: Final answer
    x = 4,629.90

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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.