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Finding the Fourth Proportional to 11,912.98, 16,443.13 and 7,434.08

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Solution

The fourth proportional to 11,912.98, 16,443.13 and 7,434.08 is: 10,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.98 : 16,443.13 = 7,434.08 : x
  2. Step 2: Convert to fraction form
    11,912.98/16,443.13 = 7,434.08/x
  3. Step 3: Cross multiply
    11,912.98x = 16,443.13 × 7,434.08
  4. Step 4: Simplify right side
    11,912.98x = 122,239,570.41
  5. Step 5: Solve for x
    x = 122,239,570.41/11,912.98
  6. Step 6: Final answer
    x = 10,261.04

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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.