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Finding the Fourth Proportional to 8,180.70, 12,271.05 and 7,316.70

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Solution

The fourth proportional to 8,180.70, 12,271.05 and 7,316.70 is: 10,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.70 : 12,271.05 = 7,316.70 : x
  2. Step 2: Convert to fraction form
    8,180.70/12,271.05 = 7,316.70/x
  3. Step 3: Cross multiply
    8,180.70x = 12,271.05 × 7,316.70
  4. Step 4: Simplify right side
    8,180.70x = 89,783,591.54
  5. Step 5: Solve for x
    x = 89,783,591.54/8,180.70
  6. Step 6: Final answer
    x = 10,975.05

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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.