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Finding the Fourth Proportional to 7,245.57, 10,853.74 and 6,072.28

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Solution

The fourth proportional to 7,245.57, 10,853.74 and 6,072.28 is: 9,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.57 : 10,853.74 = 6,072.28 : x
  2. Step 2: Convert to fraction form
    7,245.57/10,853.74 = 6,072.28/x
  3. Step 3: Cross multiply
    7,245.57x = 10,853.74 × 6,072.28
  4. Step 4: Simplify right side
    7,245.57x = 65,906,948.33
  5. Step 5: Solve for x
    x = 65,906,948.33/7,245.57
  6. Step 6: Final answer
    x = 9,096.17

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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.