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Finding the Fourth Proportional to 10,048.64, 15,072.97 and 3,471.24

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Solution

The fourth proportional to 10,048.64, 15,072.97 and 3,471.24 is: 5,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.64 : 15,072.97 = 3,471.24 : x
  2. Step 2: Convert to fraction form
    10,048.64/15,072.97 = 3,471.24/x
  3. Step 3: Cross multiply
    10,048.64x = 15,072.97 × 3,471.24
  4. Step 4: Simplify right side
    10,048.64x = 52,321,879.03
  5. Step 5: Solve for x
    x = 52,321,879.03/10,048.64
  6. Step 6: Final answer
    x = 5,206.86

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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.