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Finding the Fourth Proportional to 11,796.98, 16,251.89 and 10,112.82

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Solution

The fourth proportional to 11,796.98, 16,251.89 and 10,112.82 is: 13,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.98 : 16,251.89 = 10,112.82 : x
  2. Step 2: Convert to fraction form
    11,796.98/16,251.89 = 10,112.82/x
  3. Step 3: Cross multiply
    11,796.98x = 16,251.89 × 10,112.82
  4. Step 4: Simplify right side
    11,796.98x = 164,352,438.23
  5. Step 5: Solve for x
    x = 164,352,438.23/11,796.98
  6. Step 6: Final answer
    x = 13,931.74

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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.