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Finding the Fourth Proportional to 12,593.52, 18,892.52 and 5,193.93

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Solution

The fourth proportional to 12,593.52, 18,892.52 and 5,193.93 is: 7,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.52 : 18,892.52 = 5,193.93 : x
  2. Step 2: Convert to fraction form
    12,593.52/18,892.52 = 5,193.93/x
  3. Step 3: Cross multiply
    12,593.52x = 18,892.52 × 5,193.93
  4. Step 4: Simplify right side
    12,593.52x = 98,126,400.43
  5. Step 5: Solve for x
    x = 98,126,400.43/12,593.52
  6. Step 6: Final answer
    x = 7,791.82

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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.