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Finding the Fourth Proportional to 11,944.74, 16,485.03 and 6,640.05

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Solution

The fourth proportional to 11,944.74, 16,485.03 and 6,640.05 is: 9,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.74 : 16,485.03 = 6,640.05 : x
  2. Step 2: Convert to fraction form
    11,944.74/16,485.03 = 6,640.05/x
  3. Step 3: Cross multiply
    11,944.74x = 16,485.03 × 6,640.05
  4. Step 4: Simplify right side
    11,944.74x = 109,461,423.45
  5. Step 5: Solve for x
    x = 109,461,423.45/11,944.74
  6. Step 6: Final answer
    x = 9,163.99

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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.