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Finding the Fourth Proportional to 11,633.68, 16,054.00 and 6,328.50

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Solution

The fourth proportional to 11,633.68, 16,054.00 and 6,328.50 is: 8,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.68 : 16,054.00 = 6,328.50 : x
  2. Step 2: Convert to fraction form
    11,633.68/16,054.00 = 6,328.50/x
  3. Step 3: Cross multiply
    11,633.68x = 16,054.00 × 6,328.50
  4. Step 4: Simplify right side
    11,633.68x = 101,597,662.98
  5. Step 5: Solve for x
    x = 101,597,662.98/11,633.68
  6. Step 6: Final answer
    x = 8,733.07

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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.