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Finding the Fourth Proportional to 8,868, 12,234.06 and 5,842.20

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Solution

The fourth proportional to 8,868, 12,234.06 and 5,842.20 is: 8,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,868 : 12,234.06 = 5,842.20 : x
  2. Step 2: Convert to fraction form
    8,868/12,234.06 = 5,842.20/x
  3. Step 3: Cross multiply
    8,868x = 12,234.06 × 5,842.20
  4. Step 4: Simplify right side
    8,868x = 71,473,825.33
  5. Step 5: Solve for x
    x = 71,473,825.33/8,868
  6. Step 6: Final answer
    x = 8,059.75

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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.