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Finding the Fourth Proportional to 7,256.08, 10,885.38 and 2,638

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Solution

The fourth proportional to 7,256.08, 10,885.38 and 2,638 is: 3,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.08 : 10,885.38 = 2,638 : x
  2. Step 2: Convert to fraction form
    7,256.08/10,885.38 = 2,638/x
  3. Step 3: Cross multiply
    7,256.08x = 10,885.38 × 2,638
  4. Step 4: Simplify right side
    7,256.08x = 28,715,632.44
  5. Step 5: Solve for x
    x = 28,715,632.44/7,256.08
  6. Step 6: Final answer
    x = 3,957.46

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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.