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Finding the Fourth Proportional to 11,267.46, 16,900.20 and 3,475.50

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Solution

The fourth proportional to 11,267.46, 16,900.20 and 3,475.50 is: 5,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.46 : 16,900.20 = 3,475.50 : x
  2. Step 2: Convert to fraction form
    11,267.46/16,900.20 = 3,475.50/x
  3. Step 3: Cross multiply
    11,267.46x = 16,900.20 × 3,475.50
  4. Step 4: Simplify right side
    11,267.46x = 58,736,645.10
  5. Step 5: Solve for x
    x = 58,736,645.10/11,267.46
  6. Step 6: Final answer
    x = 5,212.94

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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.