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Finding the Fourth Proportional to 8,176, 11,282.88 and 4,450

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Solution

The fourth proportional to 8,176, 11,282.88 and 4,450 is: 6,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176 : 11,282.88 = 4,450 : x
  2. Step 2: Convert to fraction form
    8,176/11,282.88 = 4,450/x
  3. Step 3: Cross multiply
    8,176x = 11,282.88 × 4,450
  4. Step 4: Simplify right side
    8,176x = 50,208,816
  5. Step 5: Solve for x
    x = 50,208,816/8,176
  6. Step 6: Final answer
    x = 6,141

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.