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Finding the Fourth Proportional to 11,755.05, 16,222.02 and 6,449.76

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Solution

The fourth proportional to 11,755.05, 16,222.02 and 6,449.76 is: 8,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.05 : 16,222.02 = 6,449.76 : x
  2. Step 2: Convert to fraction form
    11,755.05/16,222.02 = 6,449.76/x
  3. Step 3: Cross multiply
    11,755.05x = 16,222.02 × 6,449.76
  4. Step 4: Simplify right side
    11,755.05x = 104,628,135.72
  5. Step 5: Solve for x
    x = 104,628,135.72/11,755.05
  6. Step 6: Final answer
    x = 8,900.70

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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.