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Finding the Fourth Proportional to 11,651.49, 16,079.13 and 6,346.22

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Solution

The fourth proportional to 11,651.49, 16,079.13 and 6,346.22 is: 8,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.49 : 16,079.13 = 6,346.22 : x
  2. Step 2: Convert to fraction form
    11,651.49/16,079.13 = 6,346.22/x
  3. Step 3: Cross multiply
    11,651.49x = 16,079.13 × 6,346.22
  4. Step 4: Simplify right side
    11,651.49x = 102,041,615.99
  5. Step 5: Solve for x
    x = 102,041,615.99/11,651.49
  6. Step 6: Final answer
    x = 8,757.82

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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.