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Finding the Fourth Proportional to 10,403.49, 15,606.78 and 3,829.20

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Solution

The fourth proportional to 10,403.49, 15,606.78 and 3,829.20 is: 5,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.49 : 15,606.78 = 3,829.20 : x
  2. Step 2: Convert to fraction form
    10,403.49/15,606.78 = 3,829.20/x
  3. Step 3: Cross multiply
    10,403.49x = 15,606.78 × 3,829.20
  4. Step 4: Simplify right side
    10,403.49x = 59,761,481.98
  5. Step 5: Solve for x
    x = 59,761,481.98/10,403.49
  6. Step 6: Final answer
    x = 5,744.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.