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Finding the Fourth Proportional to 11,699.56, 16,151.34 and 7,942.60

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Solution

The fourth proportional to 11,699.56, 16,151.34 and 7,942.60 is: 10,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.56 : 16,151.34 = 7,942.60 : x
  2. Step 2: Convert to fraction form
    11,699.56/16,151.34 = 7,942.60/x
  3. Step 3: Cross multiply
    11,699.56x = 16,151.34 × 7,942.60
  4. Step 4: Simplify right side
    11,699.56x = 128,283,633.08
  5. Step 5: Solve for x
    x = 128,283,633.08/11,699.56
  6. Step 6: Final answer
    x = 10,964.83

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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.