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Finding the Fourth Proportional to 25,184, 37,765.92 and 7,650.56

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Solution

The fourth proportional to 25,184, 37,765.92 and 7,650.56 is: 11,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184 : 37,765.92 = 7,650.56 : x
  2. Step 2: Convert to fraction form
    25,184/37,765.92 = 7,650.56/x
  3. Step 3: Cross multiply
    25,184x = 37,765.92 × 7,650.56
  4. Step 4: Simplify right side
    25,184x = 288,930,436.92
  5. Step 5: Solve for x
    x = 288,930,436.92/25,184
  6. Step 6: Final answer
    x = 11,472.78

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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.