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Finding the Fourth Proportional to 11,796.48, 16,278.72 and 6,827.52

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Solution

The fourth proportional to 11,796.48, 16,278.72 and 6,827.52 is: 9,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.48 : 16,278.72 = 6,827.52 : x
  2. Step 2: Convert to fraction form
    11,796.48/16,278.72 = 6,827.52/x
  3. Step 3: Cross multiply
    11,796.48x = 16,278.72 × 6,827.52
  4. Step 4: Simplify right side
    11,796.48x = 111,143,286.37
  5. Step 5: Solve for x
    x = 111,143,286.37/11,796.48
  6. Step 6: Final answer
    x = 9,421.73

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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.