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Finding the Fourth Proportional to 6,792.80, 10,189.07 and 5,159.30

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Solution

The fourth proportional to 6,792.80, 10,189.07 and 5,159.30 is: 7,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.80 : 10,189.07 = 5,159.30 : x
  2. Step 2: Convert to fraction form
    6,792.80/10,189.07 = 5,159.30/x
  3. Step 3: Cross multiply
    6,792.80x = 10,189.07 × 5,159.30
  4. Step 4: Simplify right side
    6,792.80x = 52,568,443.05
  5. Step 5: Solve for x
    x = 52,568,443.05/6,792.80
  6. Step 6: Final answer
    x = 7,738.85

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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.