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Finding the Fourth Proportional to 6,924.54, 10,384.39 and 1,992.86

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Solution

The fourth proportional to 6,924.54, 10,384.39 and 1,992.86 is: 2,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.54 : 10,384.39 = 1,992.86 : x
  2. Step 2: Convert to fraction form
    6,924.54/10,384.39 = 1,992.86/x
  3. Step 3: Cross multiply
    6,924.54x = 10,384.39 × 1,992.86
  4. Step 4: Simplify right side
    6,924.54x = 20,694,613.76
  5. Step 5: Solve for x
    x = 20,694,613.76/6,924.54
  6. Step 6: Final answer
    x = 2,988.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.