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Finding the Fourth Proportional to 7,924.90, 11,878.92 and 2,992.44

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Solution

The fourth proportional to 7,924.90, 11,878.92 and 2,992.44 is: 4,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.90 : 11,878.92 = 2,992.44 : x
  2. Step 2: Convert to fraction form
    7,924.90/11,878.92 = 2,992.44/x
  3. Step 3: Cross multiply
    7,924.90x = 11,878.92 × 2,992.44
  4. Step 4: Simplify right side
    7,924.90x = 35,546,955.36
  5. Step 5: Solve for x
    x = 35,546,955.36/7,924.90
  6. Step 6: Final answer
    x = 4,485.48

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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.