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Finding the Fourth Proportional to 7,197.81, 10,797.63 and 2,814.70

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Solution

The fourth proportional to 7,197.81, 10,797.63 and 2,814.70 is: 4,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.81 : 10,797.63 = 2,814.70 : x
  2. Step 2: Convert to fraction form
    7,197.81/10,797.63 = 2,814.70/x
  3. Step 3: Cross multiply
    7,197.81x = 10,797.63 × 2,814.70
  4. Step 4: Simplify right side
    7,197.81x = 30,392,079.77
  5. Step 5: Solve for x
    x = 30,392,079.77/7,197.81
  6. Step 6: Final answer
    x = 4,222.41

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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.