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Finding the Fourth Proportional to 11,217.10, 16,807.20 and 6,821.32

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Solution

The fourth proportional to 11,217.10, 16,807.20 and 6,821.32 is: 10,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.10 : 16,807.20 = 6,821.32 : x
  2. Step 2: Convert to fraction form
    11,217.10/16,807.20 = 6,821.32/x
  3. Step 3: Cross multiply
    11,217.10x = 16,807.20 × 6,821.32
  4. Step 4: Simplify right side
    11,217.10x = 114,647,289.50
  5. Step 5: Solve for x
    x = 114,647,289.50/11,217.10
  6. Step 6: Final answer
    x = 10,220.76

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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.