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Finding the Fourth Proportional to 11,633.47, 16,053.63 and 6,328.15

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Solution

The fourth proportional to 11,633.47, 16,053.63 and 6,328.15 is: 8,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.47 : 16,053.63 = 6,328.15 : x
  2. Step 2: Convert to fraction form
    11,633.47/16,053.63 = 6,328.15/x
  3. Step 3: Cross multiply
    11,633.47x = 16,053.63 × 6,328.15
  4. Step 4: Simplify right side
    11,633.47x = 101,589,778.68
  5. Step 5: Solve for x
    x = 101,589,778.68/11,633.47
  6. Step 6: Final answer
    x = 8,732.54

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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.