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Finding the Fourth Proportional to 11,796.12, 16,278.02 and 6,491.42

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Solution

The fourth proportional to 11,796.12, 16,278.02 and 6,491.42 is: 8,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.12 : 16,278.02 = 6,491.42 : x
  2. Step 2: Convert to fraction form
    11,796.12/16,278.02 = 6,491.42/x
  3. Step 3: Cross multiply
    11,796.12x = 16,278.02 × 6,491.42
  4. Step 4: Simplify right side
    11,796.12x = 105,667,464.59
  5. Step 5: Solve for x
    x = 105,667,464.59/11,796.12
  6. Step 6: Final answer
    x = 8,957.82

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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.