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Finding the Fourth Proportional to 11,650.17, 16,077.15 and 6,344.94

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Solution

The fourth proportional to 11,650.17, 16,077.15 and 6,344.94 is: 8,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.17 : 16,077.15 = 6,344.94 : x
  2. Step 2: Convert to fraction form
    11,650.17/16,077.15 = 6,344.94/x
  3. Step 3: Cross multiply
    11,650.17x = 16,077.15 × 6,344.94
  4. Step 4: Simplify right side
    11,650.17x = 102,008,552.12
  5. Step 5: Solve for x
    x = 102,008,552.12/11,650.17
  6. Step 6: Final answer
    x = 8,755.97

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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.