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Finding the Fourth Proportional to 6,920.94, 10,382.78 and 1,990.63

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Solution

The fourth proportional to 6,920.94, 10,382.78 and 1,990.63 is: 2,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.94 : 10,382.78 = 1,990.63 : x
  2. Step 2: Convert to fraction form
    6,920.94/10,382.78 = 1,990.63/x
  3. Step 3: Cross multiply
    6,920.94x = 10,382.78 × 1,990.63
  4. Step 4: Simplify right side
    6,920.94x = 20,668,232.90
  5. Step 5: Solve for x
    x = 20,668,232.90/6,920.94
  6. Step 6: Final answer
    x = 2,986.33

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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.