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Finding the Fourth Proportional to 12,593.96, 18,892.00 and 3,828.95

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Solution

The fourth proportional to 12,593.96, 18,892.00 and 3,828.95 is: 5,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.96 : 18,892.00 = 3,828.95 : x
  2. Step 2: Convert to fraction form
    12,593.96/18,892.00 = 3,828.95/x
  3. Step 3: Cross multiply
    12,593.96x = 18,892.00 × 3,828.95
  4. Step 4: Simplify right side
    12,593.96x = 72,336,575.42
  5. Step 5: Solve for x
    x = 72,336,575.42/12,593.96
  6. Step 6: Final answer
    x = 5,743.75

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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.