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Finding the Fourth Proportional to 11,651.34, 16,079.10 and 6,346.14

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Solution

The fourth proportional to 11,651.34, 16,079.10 and 6,346.14 is: 8,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.34 : 16,079.10 = 6,346.14 : x
  2. Step 2: Convert to fraction form
    11,651.34/16,079.10 = 6,346.14/x
  3. Step 3: Cross multiply
    11,651.34x = 16,079.10 × 6,346.14
  4. Step 4: Simplify right side
    11,651.34x = 102,040,219.67
  5. Step 5: Solve for x
    x = 102,040,219.67/11,651.34
  6. Step 6: Final answer
    x = 8,757.81

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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.