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Finding the Fourth Proportional to 7,257.43, 10,889.89 and 3,096.32

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Solution

The fourth proportional to 7,257.43, 10,889.89 and 3,096.32 is: 4,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.43 : 10,889.89 = 3,096.32 : x
  2. Step 2: Convert to fraction form
    7,257.43/10,889.89 = 3,096.32/x
  3. Step 3: Cross multiply
    7,257.43x = 10,889.89 × 3,096.32
  4. Step 4: Simplify right side
    7,257.43x = 33,718,522.01
  5. Step 5: Solve for x
    x = 33,718,522.01/7,257.43
  6. Step 6: Final answer
    x = 4,646.07

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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.