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Finding the Fourth Proportional to 6,883.92, 10,319.76 and 2,986.20

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Solution

The fourth proportional to 6,883.92, 10,319.76 and 2,986.20 is: 4,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.92 : 10,319.76 = 2,986.20 : x
  2. Step 2: Convert to fraction form
    6,883.92/10,319.76 = 2,986.20/x
  3. Step 3: Cross multiply
    6,883.92x = 10,319.76 × 2,986.20
  4. Step 4: Simplify right side
    6,883.92x = 30,816,867.31
  5. Step 5: Solve for x
    x = 30,816,867.31/6,883.92
  6. Step 6: Final answer
    x = 4,476.65

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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.