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Finding the Fourth Proportional to 11,216.64, 16,824.32 and 3,008

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Solution

The fourth proportional to 11,216.64, 16,824.32 and 3,008 is: 4,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.64 : 16,824.32 = 3,008 : x
  2. Step 2: Convert to fraction form
    11,216.64/16,824.32 = 3,008/x
  3. Step 3: Cross multiply
    11,216.64x = 16,824.32 × 3,008
  4. Step 4: Simplify right side
    11,216.64x = 50,607,554.56
  5. Step 5: Solve for x
    x = 50,607,554.56/11,216.64
  6. Step 6: Final answer
    x = 4,511.83

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Why These Related Problems?

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