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Finding the Fourth Proportional to 6,983.41, 10,470.50 and 2,763.87

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Solution

The fourth proportional to 6,983.41, 10,470.50 and 2,763.87 is: 4,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.41 : 10,470.50 = 2,763.87 : x
  2. Step 2: Convert to fraction form
    6,983.41/10,470.50 = 2,763.87/x
  3. Step 3: Cross multiply
    6,983.41x = 10,470.50 × 2,763.87
  4. Step 4: Simplify right side
    6,983.41x = 28,939,107.01
  5. Step 5: Solve for x
    x = 28,939,107.01/6,983.41
  6. Step 6: Final answer
    x = 4,143.98

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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.