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Finding the Fourth Proportional to 7,676.73, 11,515.95 and 2,746.80

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Solution

The fourth proportional to 7,676.73, 11,515.95 and 2,746.80 is: 4,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.73 : 11,515.95 = 2,746.80 : x
  2. Step 2: Convert to fraction form
    7,676.73/11,515.95 = 2,746.80/x
  3. Step 3: Cross multiply
    7,676.73x = 11,515.95 × 2,746.80
  4. Step 4: Simplify right side
    7,676.73x = 31,632,011.46
  5. Step 5: Solve for x
    x = 31,632,011.46/7,676.73
  6. Step 6: Final answer
    x = 4,120.51

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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.