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Finding the Fourth Proportional to 11,796.40, 16,278.28 and 6,760.56

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Solution

The fourth proportional to 11,796.40, 16,278.28 and 6,760.56 is: 9,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.40 : 16,278.28 = 6,760.56 : x
  2. Step 2: Convert to fraction form
    11,796.40/16,278.28 = 6,760.56/x
  3. Step 3: Cross multiply
    11,796.40x = 16,278.28 × 6,760.56
  4. Step 4: Simplify right side
    11,796.40x = 110,050,288.64
  5. Step 5: Solve for x
    x = 110,050,288.64/11,796.40
  6. Step 6: Final answer
    x = 9,329.14

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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.