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Finding the Fourth Proportional to 10,103.49, 13,942.71 and 5,627.19

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Solution

The fourth proportional to 10,103.49, 13,942.71 and 5,627.19 is: 7,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.49 : 13,942.71 = 5,627.19 : x
  2. Step 2: Convert to fraction form
    10,103.49/13,942.71 = 5,627.19/x
  3. Step 3: Cross multiply
    10,103.49x = 13,942.71 × 5,627.19
  4. Step 4: Simplify right side
    10,103.49x = 78,458,278.28
  5. Step 5: Solve for x
    x = 78,458,278.28/10,103.49
  6. Step 6: Final answer
    x = 7,765.46

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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.