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Finding the Fourth Proportional to 10,101.66, 13,940.54 and 5,625.28

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Solution

The fourth proportional to 10,101.66, 13,940.54 and 5,625.28 is: 7,763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.66 : 13,940.54 = 5,625.28 : x
  2. Step 2: Convert to fraction form
    10,101.66/13,940.54 = 5,625.28/x
  3. Step 3: Cross multiply
    10,101.66x = 13,940.54 × 5,625.28
  4. Step 4: Simplify right side
    10,101.66x = 78,419,440.85
  5. Step 5: Solve for x
    x = 78,419,440.85/10,101.66
  6. Step 6: Final answer
    x = 7,763.03

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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.