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Finding the Fourth Proportional to 6,378.09, 8,808.49 and 5,682.35

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Solution

The fourth proportional to 6,378.09, 8,808.49 and 5,682.35 is: 7,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.09 : 8,808.49 = 5,682.35 : x
  2. Step 2: Convert to fraction form
    6,378.09/8,808.49 = 5,682.35/x
  3. Step 3: Cross multiply
    6,378.09x = 8,808.49 × 5,682.35
  4. Step 4: Simplify right side
    6,378.09x = 50,052,908.95
  5. Step 5: Solve for x
    x = 50,052,908.95/6,378.09
  6. Step 6: Final answer
    x = 7,847.63

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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.