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Finding the Fourth Proportional to 11,728.80, 16,185.83 and 6,423.84

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Solution

The fourth proportional to 11,728.80, 16,185.83 and 6,423.84 is: 8,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.80 : 16,185.83 = 6,423.84 : x
  2. Step 2: Convert to fraction form
    11,728.80/16,185.83 = 6,423.84/x
  3. Step 3: Cross multiply
    11,728.80x = 16,185.83 × 6,423.84
  4. Step 4: Simplify right side
    11,728.80x = 103,975,150.07
  5. Step 5: Solve for x
    x = 103,975,150.07/11,728.80
  6. Step 6: Final answer
    x = 8,864.94

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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.