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Finding the Fourth Proportional to 10,924.80, 16,388.64 and 8,008.80

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Solution

The fourth proportional to 10,924.80, 16,388.64 and 8,008.80 is: 12,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.80 : 16,388.64 = 8,008.80 : x
  2. Step 2: Convert to fraction form
    10,924.80/16,388.64 = 8,008.80/x
  3. Step 3: Cross multiply
    10,924.80x = 16,388.64 × 8,008.80
  4. Step 4: Simplify right side
    10,924.80x = 131,253,340.03
  5. Step 5: Solve for x
    x = 131,253,340.03/10,924.80
  6. Step 6: Final answer
    x = 12,014.26

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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.