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Finding the Fourth Proportional to 10,421.94, 15,628.19 and 3,843.48

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Solution

The fourth proportional to 10,421.94, 15,628.19 and 3,843.48 is: 5,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.94 : 15,628.19 = 3,843.48 : x
  2. Step 2: Convert to fraction form
    10,421.94/15,628.19 = 3,843.48/x
  3. Step 3: Cross multiply
    10,421.94x = 15,628.19 × 3,843.48
  4. Step 4: Simplify right side
    10,421.94x = 60,066,616.48
  5. Step 5: Solve for x
    x = 60,066,616.48/10,421.94
  6. Step 6: Final answer
    x = 5,763.48

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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.