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Finding the Fourth Proportional to 11,633.99, 16,055.21 and 6,329.16

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Solution

The fourth proportional to 11,633.99, 16,055.21 and 6,329.16 is: 8,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.99 : 16,055.21 = 6,329.16 : x
  2. Step 2: Convert to fraction form
    11,633.99/16,055.21 = 6,329.16/x
  3. Step 3: Cross multiply
    11,633.99x = 16,055.21 × 6,329.16
  4. Step 4: Simplify right side
    11,633.99x = 101,616,008.75
  5. Step 5: Solve for x
    x = 101,616,008.75/11,633.99
  6. Step 6: Final answer
    x = 8,734.41

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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.