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Finding the Fourth Proportional to 10,423.80, 15,621.84 and 3,843.90

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Solution

The fourth proportional to 10,423.80, 15,621.84 and 3,843.90 is: 5,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.80 : 15,621.84 = 3,843.90 : x
  2. Step 2: Convert to fraction form
    10,423.80/15,621.84 = 3,843.90/x
  3. Step 3: Cross multiply
    10,423.80x = 15,621.84 × 3,843.90
  4. Step 4: Simplify right side
    10,423.80x = 60,048,790.78
  5. Step 5: Solve for x
    x = 60,048,790.78/10,423.80
  6. Step 6: Final answer
    x = 5,760.74

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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.