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Finding the Fourth Proportional to 11,220.64, 16,830.32 and 3,012

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Solution

The fourth proportional to 11,220.64, 16,830.32 and 3,012 is: 4,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.64 : 16,830.32 = 3,012 : x
  2. Step 2: Convert to fraction form
    11,220.64/16,830.32 = 3,012/x
  3. Step 3: Cross multiply
    11,220.64x = 16,830.32 × 3,012
  4. Step 4: Simplify right side
    11,220.64x = 50,692,923.84
  5. Step 5: Solve for x
    x = 50,692,923.84/11,220.64
  6. Step 6: Final answer
    x = 4,517.83

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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.