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Finding the Fourth Proportional to 7,859.82, 11,797.49 and 5,773.97

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Solution

The fourth proportional to 7,859.82, 11,797.49 and 5,773.97 is: 8,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.82 : 11,797.49 = 5,773.97 : x
  2. Step 2: Convert to fraction form
    7,859.82/11,797.49 = 5,773.97/x
  3. Step 3: Cross multiply
    7,859.82x = 11,797.49 × 5,773.97
  4. Step 4: Simplify right side
    7,859.82x = 68,118,353.34
  5. Step 5: Solve for x
    x = 68,118,353.34/7,859.82
  6. Step 6: Final answer
    x = 8,666.66

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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.