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Finding the Fourth Proportional to 11,655.23, 16,086.02 and 6,942.24

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Solution

The fourth proportional to 11,655.23, 16,086.02 and 6,942.24 is: 9,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.23 : 16,086.02 = 6,942.24 : x
  2. Step 2: Convert to fraction form
    11,655.23/16,086.02 = 6,942.24/x
  3. Step 3: Cross multiply
    11,655.23x = 16,086.02 × 6,942.24
  4. Step 4: Simplify right side
    11,655.23x = 111,672,976.77
  5. Step 5: Solve for x
    x = 111,672,976.77/11,655.23
  6. Step 6: Final answer
    x = 9,581.37

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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.