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Finding the Fourth Proportional to 8,197.77, 12,289.35 and 3,002.43

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Solution

The fourth proportional to 8,197.77, 12,289.35 and 3,002.43 is: 4,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.77 : 12,289.35 = 3,002.43 : x
  2. Step 2: Convert to fraction form
    8,197.77/12,289.35 = 3,002.43/x
  3. Step 3: Cross multiply
    8,197.77x = 12,289.35 × 3,002.43
  4. Step 4: Simplify right side
    8,197.77x = 36,897,913.12
  5. Step 5: Solve for x
    x = 36,897,913.12/8,197.77
  6. Step 6: Final answer
    x = 4,500.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.