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Finding the Fourth Proportional to 15,765.68, 23,650.95 and 5,375

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Solution

The fourth proportional to 15,765.68, 23,650.95 and 5,375 is: 8,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.68 : 23,650.95 = 5,375 : x
  2. Step 2: Convert to fraction form
    15,765.68/23,650.95 = 5,375/x
  3. Step 3: Cross multiply
    15,765.68x = 23,650.95 × 5,375
  4. Step 4: Simplify right side
    15,765.68x = 127,123,856.25
  5. Step 5: Solve for x
    x = 127,123,856.25/15,765.68
  6. Step 6: Final answer
    x = 8,063.33

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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.