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Finding the Fourth Proportional to 11,771.60, 16,245.66 and 7,785.80

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Solution

The fourth proportional to 11,771.60, 16,245.66 and 7,785.80 is: 10,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.60 : 16,245.66 = 7,785.80 : x
  2. Step 2: Convert to fraction form
    11,771.60/16,245.66 = 7,785.80/x
  3. Step 3: Cross multiply
    11,771.60x = 16,245.66 × 7,785.80
  4. Step 4: Simplify right side
    11,771.60x = 126,485,459.63
  5. Step 5: Solve for x
    x = 126,485,459.63/11,771.60
  6. Step 6: Final answer
    x = 10,744.97

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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.