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Finding the Fourth Proportional to 10,309.49, 15,464.20 and 3,734.14

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Solution

The fourth proportional to 10,309.49, 15,464.20 and 3,734.14 is: 5,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.49 : 15,464.20 = 3,734.14 : x
  2. Step 2: Convert to fraction form
    10,309.49/15,464.20 = 3,734.14/x
  3. Step 3: Cross multiply
    10,309.49x = 15,464.20 × 3,734.14
  4. Step 4: Simplify right side
    10,309.49x = 57,745,487.79
  5. Step 5: Solve for x
    x = 57,745,487.79/10,309.49
  6. Step 6: Final answer
    x = 5,601.20

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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.