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Finding the Fourth Proportional to 7,676.92, 11,517.54 and 2,483.20

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Solution

The fourth proportional to 7,676.92, 11,517.54 and 2,483.20 is: 3,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.92 : 11,517.54 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    7,676.92/11,517.54 = 2,483.20/x
  3. Step 3: Cross multiply
    7,676.92x = 11,517.54 × 2,483.20
  4. Step 4: Simplify right side
    7,676.92x = 28,600,355.33
  5. Step 5: Solve for x
    x = 28,600,355.33/7,676.92
  6. Step 6: Final answer
    x = 3,725.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.