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Finding the Fourth Proportional to 6,924.42, 10,384.47 and 1,992.74

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Solution

The fourth proportional to 6,924.42, 10,384.47 and 1,992.74 is: 2,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.42 : 10,384.47 = 1,992.74 : x
  2. Step 2: Convert to fraction form
    6,924.42/10,384.47 = 1,992.74/x
  3. Step 3: Cross multiply
    6,924.42x = 10,384.47 × 1,992.74
  4. Step 4: Simplify right side
    6,924.42x = 20,693,496.83
  5. Step 5: Solve for x
    x = 20,693,496.83/6,924.42
  6. Step 6: Final answer
    x = 2,988.48

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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.