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Finding the Fourth Proportional to 11,796.28, 16,278.46 and 6,490.60

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Solution

The fourth proportional to 11,796.28, 16,278.46 and 6,490.60 is: 8,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.28 : 16,278.46 = 6,490.60 : x
  2. Step 2: Convert to fraction form
    11,796.28/16,278.46 = 6,490.60/x
  3. Step 3: Cross multiply
    11,796.28x = 16,278.46 × 6,490.60
  4. Step 4: Simplify right side
    11,796.28x = 105,656,972.48
  5. Step 5: Solve for x
    x = 105,656,972.48/11,796.28
  6. Step 6: Final answer
    x = 8,956.80

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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.