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Finding the Fourth Proportional to 11,796.21, 16,278.65 and 6,491.03

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Solution

The fourth proportional to 11,796.21, 16,278.65 and 6,491.03 is: 8,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.21 : 16,278.65 = 6,491.03 : x
  2. Step 2: Convert to fraction form
    11,796.21/16,278.65 = 6,491.03/x
  3. Step 3: Cross multiply
    11,796.21x = 16,278.65 × 6,491.03
  4. Step 4: Simplify right side
    11,796.21x = 105,665,205.51
  5. Step 5: Solve for x
    x = 105,665,205.51/11,796.21
  6. Step 6: Final answer
    x = 8,957.56

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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.