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Finding the Fourth Proportional to 11,634.00, 16,054.84 and 6,328.83

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Solution

The fourth proportional to 11,634.00, 16,054.84 and 6,328.83 is: 8,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.00 : 16,054.84 = 6,328.83 : x
  2. Step 2: Convert to fraction form
    11,634.00/16,054.84 = 6,328.83/x
  3. Step 3: Cross multiply
    11,634.00x = 16,054.84 × 6,328.83
  4. Step 4: Simplify right side
    11,634.00x = 101,608,421.15
  5. Step 5: Solve for x
    x = 101,608,421.15/11,634.00
  6. Step 6: Final answer
    x = 8,733.75

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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.