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Finding the Fourth Proportional to 10,100.75, 13,940.12 and 5,912.51

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Solution

The fourth proportional to 10,100.75, 13,940.12 and 5,912.51 is: 8,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100.75 : 13,940.12 = 5,912.51 : x
  2. Step 2: Convert to fraction form
    10,100.75/13,940.12 = 5,912.51/x
  3. Step 3: Cross multiply
    10,100.75x = 13,940.12 × 5,912.51
  4. Step 4: Simplify right side
    10,100.75x = 82,421,098.90
  5. Step 5: Solve for x
    x = 82,421,098.90/10,100.75
  6. Step 6: Final answer
    x = 8,159.90

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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.