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Finding the Fourth Proportional to 11,773.81, 17,643.43 and 5,922.37

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Solution

The fourth proportional to 11,773.81, 17,643.43 and 5,922.37 is: 8,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.81 : 17,643.43 = 5,922.37 : x
  2. Step 2: Convert to fraction form
    11,773.81/17,643.43 = 5,922.37/x
  3. Step 3: Cross multiply
    11,773.81x = 17,643.43 × 5,922.37
  4. Step 4: Simplify right side
    11,773.81x = 104,490,802.70
  5. Step 5: Solve for x
    x = 104,490,802.70/11,773.81
  6. Step 6: Final answer
    x = 8,874.85

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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.