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Finding the Fourth Proportional to 6,824.20, 10,214.70 and 4,880.20

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Solution

The fourth proportional to 6,824.20, 10,214.70 and 4,880.20 is: 7,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.20 : 10,214.70 = 4,880.20 : x
  2. Step 2: Convert to fraction form
    6,824.20/10,214.70 = 4,880.20/x
  3. Step 3: Cross multiply
    6,824.20x = 10,214.70 × 4,880.20
  4. Step 4: Simplify right side
    6,824.20x = 49,849,778.94
  5. Step 5: Solve for x
    x = 49,849,778.94/6,824.20
  6. Step 6: Final answer
    x = 7,304.85

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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.