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Finding the Fourth Proportional to 11,682.70, 16,122.12 and 6,377.50

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Solution

The fourth proportional to 11,682.70, 16,122.12 and 6,377.50 is: 8,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.70 : 16,122.12 = 6,377.50 : x
  2. Step 2: Convert to fraction form
    11,682.70/16,122.12 = 6,377.50/x
  3. Step 3: Cross multiply
    11,682.70x = 16,122.12 × 6,377.50
  4. Step 4: Simplify right side
    11,682.70x = 102,818,820.30
  5. Step 5: Solve for x
    x = 102,818,820.30/11,682.70
  6. Step 6: Final answer
    x = 8,800.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.