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Finding the Fourth Proportional to 11,633.74, 16,054.89 and 6,328.90

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Solution

The fourth proportional to 11,633.74, 16,054.89 and 6,328.90 is: 8,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.74 : 16,054.89 = 6,328.90 : x
  2. Step 2: Convert to fraction form
    11,633.74/16,054.89 = 6,328.90/x
  3. Step 3: Cross multiply
    11,633.74x = 16,054.89 × 6,328.90
  4. Step 4: Simplify right side
    11,633.74x = 101,609,793.32
  5. Step 5: Solve for x
    x = 101,609,793.32/11,633.74
  6. Step 6: Final answer
    x = 8,734.06

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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.