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Finding the Fourth Proportional to 11,222.64, 16,833.32 and 3,014

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Solution

The fourth proportional to 11,222.64, 16,833.32 and 3,014 is: 4,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.64 : 16,833.32 = 3,014 : x
  2. Step 2: Convert to fraction form
    11,222.64/16,833.32 = 3,014/x
  3. Step 3: Cross multiply
    11,222.64x = 16,833.32 × 3,014
  4. Step 4: Simplify right side
    11,222.64x = 50,735,626.48
  5. Step 5: Solve for x
    x = 50,735,626.48/11,222.64
  6. Step 6: Final answer
    x = 4,520.83

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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.