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Finding the Fourth Proportional to 11,924.88, 16,451.92 and 7,207.44

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Solution

The fourth proportional to 11,924.88, 16,451.92 and 7,207.44 is: 9,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.88 : 16,451.92 = 7,207.44 : x
  2. Step 2: Convert to fraction form
    11,924.88/16,451.92 = 7,207.44/x
  3. Step 3: Cross multiply
    11,924.88x = 16,451.92 × 7,207.44
  4. Step 4: Simplify right side
    11,924.88x = 118,576,226.28
  5. Step 5: Solve for x
    x = 118,576,226.28/11,924.88
  6. Step 6: Final answer
    x = 9,943.60

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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.