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Finding the Fourth Proportional to 7,481.40, 11,222.10 and 6,271.80

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Solution

The fourth proportional to 7,481.40, 11,222.10 and 6,271.80 is: 9,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.40 : 11,222.10 = 6,271.80 : x
  2. Step 2: Convert to fraction form
    7,481.40/11,222.10 = 6,271.80/x
  3. Step 3: Cross multiply
    7,481.40x = 11,222.10 × 6,271.80
  4. Step 4: Simplify right side
    7,481.40x = 70,382,766.78
  5. Step 5: Solve for x
    x = 70,382,766.78/7,481.40
  6. Step 6: Final answer
    x = 9,407.70

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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.