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Finding the Fourth Proportional to 11,810, 16,297.80 and 6,504.80

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Solution

The fourth proportional to 11,810, 16,297.80 and 6,504.80 is: 8,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810 : 16,297.80 = 6,504.80 : x
  2. Step 2: Convert to fraction form
    11,810/16,297.80 = 6,504.80/x
  3. Step 3: Cross multiply
    11,810x = 16,297.80 × 6,504.80
  4. Step 4: Simplify right side
    11,810x = 106,013,929.44
  5. Step 5: Solve for x
    x = 106,013,929.44/11,810
  6. Step 6: Final answer
    x = 8,976.62

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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.