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Finding the Fourth Proportional to 11,918.84, 16,441.16 and 7,434.80

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Solution

The fourth proportional to 11,918.84, 16,441.16 and 7,434.80 is: 10,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.84 : 16,441.16 = 7,434.80 : x
  2. Step 2: Convert to fraction form
    11,918.84/16,441.16 = 7,434.80/x
  3. Step 3: Cross multiply
    11,918.84x = 16,441.16 × 7,434.80
  4. Step 4: Simplify right side
    11,918.84x = 122,236,736.37
  5. Step 5: Solve for x
    x = 122,236,736.37/11,918.84
  6. Step 6: Final answer
    x = 10,255.76

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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.