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Finding the Fourth Proportional to 10,105.80, 13,947.03 and 5,630.28

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Solution

The fourth proportional to 10,105.80, 13,947.03 and 5,630.28 is: 7,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.80 : 13,947.03 = 5,630.28 : x
  2. Step 2: Convert to fraction form
    10,105.80/13,947.03 = 5,630.28/x
  3. Step 3: Cross multiply
    10,105.80x = 13,947.03 × 5,630.28
  4. Step 4: Simplify right side
    10,105.80x = 78,525,684.07
  5. Step 5: Solve for x
    x = 78,525,684.07/10,105.80
  6. Step 6: Final answer
    x = 7,770.36

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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.