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Finding the Fourth Proportional to 10,072.80, 15,112.80 and 4,231.20

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Solution

The fourth proportional to 10,072.80, 15,112.80 and 4,231.20 is: 6,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.80 : 15,112.80 = 4,231.20 : x
  2. Step 2: Convert to fraction form
    10,072.80/15,112.80 = 4,231.20/x
  3. Step 3: Cross multiply
    10,072.80x = 15,112.80 × 4,231.20
  4. Step 4: Simplify right side
    10,072.80x = 63,945,279.36
  5. Step 5: Solve for x
    x = 63,945,279.36/10,072.80
  6. Step 6: Final answer
    x = 6,348.31

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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.