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Finding the Fourth Proportional to 8,197.48, 12,289.02 and 3,271.24

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Solution

The fourth proportional to 8,197.48, 12,289.02 and 3,271.24 is: 4,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.48 : 12,289.02 = 3,271.24 : x
  2. Step 2: Convert to fraction form
    8,197.48/12,289.02 = 3,271.24/x
  3. Step 3: Cross multiply
    8,197.48x = 12,289.02 × 3,271.24
  4. Step 4: Simplify right side
    8,197.48x = 40,200,333.78
  5. Step 5: Solve for x
    x = 40,200,333.78/8,197.48
  6. Step 6: Final answer
    x = 4,903.99

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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.