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Finding the Fourth Proportional to 7,211.60, 10,817.40 and 2,826.80

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Solution

The fourth proportional to 7,211.60, 10,817.40 and 2,826.80 is: 4,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,817.40 = 2,826.80 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,817.40 = 2,826.80/x
  3. Step 3: Cross multiply
    7,211.60x = 10,817.40 × 2,826.80
  4. Step 4: Simplify right side
    7,211.60x = 30,578,626.32
  5. Step 5: Solve for x
    x = 30,578,626.32/7,211.60
  6. Step 6: Final answer
    x = 4,240.20

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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.