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Finding the Fourth Proportional to 11,610.60, 16,027.20 and 7,836

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Solution

The fourth proportional to 11,610.60, 16,027.20 and 7,836 is: 10,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.60 : 16,027.20 = 7,836 : x
  2. Step 2: Convert to fraction form
    11,610.60/16,027.20 = 7,836/x
  3. Step 3: Cross multiply
    11,610.60x = 16,027.20 × 7,836
  4. Step 4: Simplify right side
    11,610.60x = 125,589,139.20
  5. Step 5: Solve for x
    x = 125,589,139.20/11,610.60
  6. Step 6: Final answer
    x = 10,816.77

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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.