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Finding the Fourth Proportional to 7,882.72, 10,879.59 and 6,209.80

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Solution

The fourth proportional to 7,882.72, 10,879.59 and 6,209.80 is: 8,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.72 : 10,879.59 = 6,209.80 : x
  2. Step 2: Convert to fraction form
    7,882.72/10,879.59 = 6,209.80/x
  3. Step 3: Cross multiply
    7,882.72x = 10,879.59 × 6,209.80
  4. Step 4: Simplify right side
    7,882.72x = 67,560,077.98
  5. Step 5: Solve for x
    x = 67,560,077.98/7,882.72
  6. Step 6: Final answer
    x = 8,570.66

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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.