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Finding the Fourth Proportional to 10,102.98, 13,941.99 and 5,911.23

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Solution

The fourth proportional to 10,102.98, 13,941.99 and 5,911.23 is: 8,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.98 : 13,941.99 = 5,911.23 : x
  2. Step 2: Convert to fraction form
    10,102.98/13,941.99 = 5,911.23/x
  3. Step 3: Cross multiply
    10,102.98x = 13,941.99 × 5,911.23
  4. Step 4: Simplify right side
    10,102.98x = 82,414,309.55
  5. Step 5: Solve for x
    x = 82,414,309.55/10,102.98
  6. Step 6: Final answer
    x = 8,157.43

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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.