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Finding the Fourth Proportional to 7,803.20, 11,704.80 and 7,195.70

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Solution

The fourth proportional to 7,803.20, 11,704.80 and 7,195.70 is: 10,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.20 : 11,704.80 = 7,195.70 : x
  2. Step 2: Convert to fraction form
    7,803.20/11,704.80 = 7,195.70/x
  3. Step 3: Cross multiply
    7,803.20x = 11,704.80 × 7,195.70
  4. Step 4: Simplify right side
    7,803.20x = 84,224,229.36
  5. Step 5: Solve for x
    x = 84,224,229.36/7,803.20
  6. Step 6: Final answer
    x = 10,793.55

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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.