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Finding the Fourth Proportional to 7,553.86, 10,426 and 4,197.83

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Solution

The fourth proportional to 7,553.86, 10,426 and 4,197.83 is: 5,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,553.86 : 10,426 = 4,197.83 : x
  2. Step 2: Convert to fraction form
    7,553.86/10,426 = 4,197.83/x
  3. Step 3: Cross multiply
    7,553.86x = 10,426 × 4,197.83
  4. Step 4: Simplify right side
    7,553.86x = 43,766,575.58
  5. Step 5: Solve for x
    x = 43,766,575.58/7,553.86
  6. Step 6: Final answer
    x = 5,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.