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Finding the Fourth Proportional to 8,122.89, 12,184.32 and 1,966.89

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Solution

The fourth proportional to 8,122.89, 12,184.32 and 1,966.89 is: 2,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.89 : 12,184.32 = 1,966.89 : x
  2. Step 2: Convert to fraction form
    8,122.89/12,184.32 = 1,966.89/x
  3. Step 3: Cross multiply
    8,122.89x = 12,184.32 × 1,966.89
  4. Step 4: Simplify right side
    8,122.89x = 23,965,217.16
  5. Step 5: Solve for x
    x = 23,965,217.16/8,122.89
  6. Step 6: Final answer
    x = 2,950.33

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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.