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Finding the Fourth Proportional to 6,211.20, 8,721.60 and 6,211.20

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Solution

The fourth proportional to 6,211.20, 8,721.60 and 6,211.20 is: 8,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.20 : 8,721.60 = 6,211.20 : x
  2. Step 2: Convert to fraction form
    6,211.20/8,721.60 = 6,211.20/x
  3. Step 3: Cross multiply
    6,211.20x = 8,721.60 × 6,211.20
  4. Step 4: Simplify right side
    6,211.20x = 54,171,601.92
  5. Step 5: Solve for x
    x = 54,171,601.92/6,211.20
  6. Step 6: Final answer
    x = 8,721.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.