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Finding the Fourth Proportional to 8,568, 11,824.80 and 4,842.24

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Solution

The fourth proportional to 8,568, 11,824.80 and 4,842.24 is: 6,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 11,824.80 = 4,842.24 : x
  2. Step 2: Convert to fraction form
    8,568/11,824.80 = 4,842.24/x
  3. Step 3: Cross multiply
    8,568x = 11,824.80 × 4,842.24
  4. Step 4: Simplify right side
    8,568x = 57,258,519.55
  5. Step 5: Solve for x
    x = 57,258,519.55/8,568
  6. Step 6: Final answer
    x = 6,682.83

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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.