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Finding the Fourth Proportional to 10,371.70, 15,548.10 and 3,796.30

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Solution

The fourth proportional to 10,371.70, 15,548.10 and 3,796.30 is: 5,690.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.70 : 15,548.10 = 3,796.30 : x
  2. Step 2: Convert to fraction form
    10,371.70/15,548.10 = 3,796.30/x
  3. Step 3: Cross multiply
    10,371.70x = 15,548.10 × 3,796.30
  4. Step 4: Simplify right side
    10,371.70x = 59,025,252.03
  5. Step 5: Solve for x
    x = 59,025,252.03/10,371.70
  6. Step 6: Final answer
    x = 5,690.99

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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.