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Finding the Fourth Proportional to 8,324.70, 11,540.70 and 7,880.82

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Solution

The fourth proportional to 8,324.70, 11,540.70 and 7,880.82 is: 10,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.70 : 11,540.70 = 7,880.82 : x
  2. Step 2: Convert to fraction form
    8,324.70/11,540.70 = 7,880.82/x
  3. Step 3: Cross multiply
    8,324.70x = 11,540.70 × 7,880.82
  4. Step 4: Simplify right side
    8,324.70x = 90,950,179.37
  5. Step 5: Solve for x
    x = 90,950,179.37/8,324.70
  6. Step 6: Final answer
    x = 10,925.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.