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Finding the Fourth Proportional to 8,130.85, 12,197.09 and 2,207.83

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Solution

The fourth proportional to 8,130.85, 12,197.09 and 2,207.83 is: 3,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.85 : 12,197.09 = 2,207.83 : x
  2. Step 2: Convert to fraction form
    8,130.85/12,197.09 = 2,207.83/x
  3. Step 3: Cross multiply
    8,130.85x = 12,197.09 × 2,207.83
  4. Step 4: Simplify right side
    8,130.85x = 26,929,101.21
  5. Step 5: Solve for x
    x = 26,929,101.21/8,130.85
  6. Step 6: Final answer
    x = 3,311.97

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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.