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Finding the Fourth Proportional to 11,809.78, 16,297.26 and 6,504.46

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Solution

The fourth proportional to 11,809.78, 16,297.26 and 6,504.46 is: 8,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.78 : 16,297.26 = 6,504.46 : x
  2. Step 2: Convert to fraction form
    11,809.78/16,297.26 = 6,504.46/x
  3. Step 3: Cross multiply
    11,809.78x = 16,297.26 × 6,504.46
  4. Step 4: Simplify right side
    11,809.78x = 106,004,875.78
  5. Step 5: Solve for x
    x = 106,004,875.78/11,809.78
  6. Step 6: Final answer
    x = 8,976.02

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