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Finding the Fourth Proportional to 10,131.82, 13,984.24 and 5,941.42

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Solution

The fourth proportional to 10,131.82, 13,984.24 and 5,941.42 is: 8,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.82 : 13,984.24 = 5,941.42 : x
  2. Step 2: Convert to fraction form
    10,131.82/13,984.24 = 5,941.42/x
  3. Step 3: Cross multiply
    10,131.82x = 13,984.24 × 5,941.42
  4. Step 4: Simplify right side
    10,131.82x = 83,086,173.30
  5. Step 5: Solve for x
    x = 83,086,173.30/10,131.82
  6. Step 6: Final answer
    x = 8,200.52

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