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Finding the Fourth Proportional to 8,134.66, 12,200.57 and 3,205.67

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Solution

The fourth proportional to 8,134.66, 12,200.57 and 3,205.67 is: 4,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.66 : 12,200.57 = 3,205.67 : x
  2. Step 2: Convert to fraction form
    8,134.66/12,200.57 = 3,205.67/x
  3. Step 3: Cross multiply
    8,134.66x = 12,200.57 × 3,205.67
  4. Step 4: Simplify right side
    8,134.66x = 39,110,985.20
  5. Step 5: Solve for x
    x = 39,110,985.20/8,134.66
  6. Step 6: Final answer
    x = 4,807.95

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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.