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Finding the Fourth Proportional to 12,308.60, 18,456.38 and 5,375

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Solution

The fourth proportional to 12,308.60, 18,456.38 and 5,375 is: 8,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.60 : 18,456.38 = 5,375 : x
  2. Step 2: Convert to fraction form
    12,308.60/18,456.38 = 5,375/x
  3. Step 3: Cross multiply
    12,308.60x = 18,456.38 × 5,375
  4. Step 4: Simplify right side
    12,308.60x = 99,203,042.50
  5. Step 5: Solve for x
    x = 99,203,042.50/12,308.60
  6. Step 6: Final answer
    x = 8,059.65

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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.