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Finding the Fourth Proportional to 8,164, 11,267.28 and 4,852

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Solution

The fourth proportional to 8,164, 11,267.28 and 4,852 is: 6,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164 : 11,267.28 = 4,852 : x
  2. Step 2: Convert to fraction form
    8,164/11,267.28 = 4,852/x
  3. Step 3: Cross multiply
    8,164x = 11,267.28 × 4,852
  4. Step 4: Simplify right side
    8,164x = 54,668,842.56
  5. Step 5: Solve for x
    x = 54,668,842.56/8,164
  6. Step 6: Final answer
    x = 6,696.33

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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.