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Finding the Fourth Proportional to 11,674.14, 16,108.11 and 6,958.86

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Solution

The fourth proportional to 11,674.14, 16,108.11 and 6,958.86 is: 9,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.14 : 16,108.11 = 6,958.86 : x
  2. Step 2: Convert to fraction form
    11,674.14/16,108.11 = 6,958.86/x
  3. Step 3: Cross multiply
    11,674.14x = 16,108.11 × 6,958.86
  4. Step 4: Simplify right side
    11,674.14x = 112,094,082.35
  5. Step 5: Solve for x
    x = 112,094,082.35/11,674.14
  6. Step 6: Final answer
    x = 9,601.91

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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.