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Finding the Fourth Proportional to 7,676.87, 10,593.38 and 4,490.87

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Solution

The fourth proportional to 7,676.87, 10,593.38 and 4,490.87 is: 6,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.87 : 10,593.38 = 4,490.87 : x
  2. Step 2: Convert to fraction form
    7,676.87/10,593.38 = 4,490.87/x
  3. Step 3: Cross multiply
    7,676.87x = 10,593.38 × 4,490.87
  4. Step 4: Simplify right side
    7,676.87x = 47,573,469.99
  5. Step 5: Solve for x
    x = 47,573,469.99/7,676.87
  6. Step 6: Final answer
    x = 6,196.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.