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Finding the Fourth Proportional to 10,425.28, 15,635.76 and 3,846.97

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Solution

The fourth proportional to 10,425.28, 15,635.76 and 3,846.97 is: 5,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.28 : 15,635.76 = 3,846.97 : x
  2. Step 2: Convert to fraction form
    10,425.28/15,635.76 = 3,846.97/x
  3. Step 3: Cross multiply
    10,425.28x = 15,635.76 × 3,846.97
  4. Step 4: Simplify right side
    10,425.28x = 60,150,271.61
  5. Step 5: Solve for x
    x = 60,150,271.61/10,425.28
  6. Step 6: Final answer
    x = 5,769.65

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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.