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Finding the Fourth Proportional to 11,663.07, 16,082.32 and 7,879.66

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Solution

The fourth proportional to 11,663.07, 16,082.32 and 7,879.66 is: 10,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.07 : 16,082.32 = 7,879.66 : x
  2. Step 2: Convert to fraction form
    11,663.07/16,082.32 = 7,879.66/x
  3. Step 3: Cross multiply
    11,663.07x = 16,082.32 × 7,879.66
  4. Step 4: Simplify right side
    11,663.07x = 126,723,213.61
  5. Step 5: Solve for x
    x = 126,723,213.61/11,663.07
  6. Step 6: Final answer
    x = 10,865.34

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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.