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Finding the Fourth Proportional to 7,882.80, 11,824.20 and 6,586.80

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Solution

The fourth proportional to 7,882.80, 11,824.20 and 6,586.80 is: 9,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.80 : 11,824.20 = 6,586.80 : x
  2. Step 2: Convert to fraction form
    7,882.80/11,824.20 = 6,586.80/x
  3. Step 3: Cross multiply
    7,882.80x = 11,824.20 × 6,586.80
  4. Step 4: Simplify right side
    7,882.80x = 77,883,640.56
  5. Step 5: Solve for x
    x = 77,883,640.56/7,882.80
  6. Step 6: Final answer
    x = 9,880.20

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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.