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Finding the Fourth Proportional to 11,728.68, 16,186.06 and 6,423.96

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Solution

The fourth proportional to 11,728.68, 16,186.06 and 6,423.96 is: 8,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.68 : 16,186.06 = 6,423.96 : x
  2. Step 2: Convert to fraction form
    11,728.68/16,186.06 = 6,423.96/x
  3. Step 3: Cross multiply
    11,728.68x = 16,186.06 × 6,423.96
  4. Step 4: Simplify right side
    11,728.68x = 103,978,602.00
  5. Step 5: Solve for x
    x = 103,978,602.00/11,728.68
  6. Step 6: Final answer
    x = 8,865.33

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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.