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Finding the Fourth Proportional to 8,117.88, 12,176.82 and 1,961.88

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Solution

The fourth proportional to 8,117.88, 12,176.82 and 1,961.88 is: 2,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.88 : 12,176.82 = 1,961.88 : x
  2. Step 2: Convert to fraction form
    8,117.88/12,176.82 = 1,961.88/x
  3. Step 3: Cross multiply
    8,117.88x = 12,176.82 × 1,961.88
  4. Step 4: Simplify right side
    8,117.88x = 23,889,459.62
  5. Step 5: Solve for x
    x = 23,889,459.62/8,117.88
  6. Step 6: Final answer
    x = 2,942.82

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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.