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Finding the Fourth Proportional to 11,662.80, 16,094.64 and 6,626.80

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Solution

The fourth proportional to 11,662.80, 16,094.64 and 6,626.80 is: 9,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.80 : 16,094.64 = 6,626.80 : x
  2. Step 2: Convert to fraction form
    11,662.80/16,094.64 = 6,626.80/x
  3. Step 3: Cross multiply
    11,662.80x = 16,094.64 × 6,626.80
  4. Step 4: Simplify right side
    11,662.80x = 106,655,960.35
  5. Step 5: Solve for x
    x = 106,655,960.35/11,662.80
  6. Step 6: Final answer
    x = 9,144.97

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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.