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Finding the Fourth Proportional to 11,633.80, 16,055.04 and 6,328.81

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Solution

The fourth proportional to 11,633.80, 16,055.04 and 6,328.81 is: 8,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.80 : 16,055.04 = 6,328.81 : x
  2. Step 2: Convert to fraction form
    11,633.80/16,055.04 = 6,328.81/x
  3. Step 3: Cross multiply
    11,633.80x = 16,055.04 × 6,328.81
  4. Step 4: Simplify right side
    11,633.80x = 101,609,297.70
  5. Step 5: Solve for x
    x = 101,609,297.70/11,633.80
  6. Step 6: Final answer
    x = 8,733.97

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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.