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Finding the Fourth Proportional to 6,382.20, 8,811.74 and 5,707.90

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Solution

The fourth proportional to 6,382.20, 8,811.74 and 5,707.90 is: 7,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.20 : 8,811.74 = 5,707.90 : x
  2. Step 2: Convert to fraction form
    6,382.20/8,811.74 = 5,707.90/x
  3. Step 3: Cross multiply
    6,382.20x = 8,811.74 × 5,707.90
  4. Step 4: Simplify right side
    6,382.20x = 50,296,530.75
  5. Step 5: Solve for x
    x = 50,296,530.75/6,382.20
  6. Step 6: Final answer
    x = 7,880.75

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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.