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Finding the Fourth Proportional to 11,809.80, 16,297.34 and 6,504.71

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Solution

The fourth proportional to 11,809.80, 16,297.34 and 6,504.71 is: 8,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.80 : 16,297.34 = 6,504.71 : x
  2. Step 2: Convert to fraction form
    11,809.80/16,297.34 = 6,504.71/x
  3. Step 3: Cross multiply
    11,809.80x = 16,297.34 × 6,504.71
  4. Step 4: Simplify right side
    11,809.80x = 106,009,356.46
  5. Step 5: Solve for x
    x = 106,009,356.46/11,809.80
  6. Step 6: Final answer
    x = 8,976.39

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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.