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Finding the Fourth Proportional to 11,728.25, 16,186.05 and 6,423.83

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Solution

The fourth proportional to 11,728.25, 16,186.05 and 6,423.83 is: 8,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.25 : 16,186.05 = 6,423.83 : x
  2. Step 2: Convert to fraction form
    11,728.25/16,186.05 = 6,423.83/x
  3. Step 3: Cross multiply
    11,728.25x = 16,186.05 × 6,423.83
  4. Step 4: Simplify right side
    11,728.25x = 103,976,352.64
  5. Step 5: Solve for x
    x = 103,976,352.64/11,728.25
  6. Step 6: Final answer
    x = 8,865.47

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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.