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Finding the Fourth Proportional to 11,662.81, 16,094.33 and 6,627.49

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Solution

The fourth proportional to 11,662.81, 16,094.33 and 6,627.49 is: 9,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.81 : 16,094.33 = 6,627.49 : x
  2. Step 2: Convert to fraction form
    11,662.81/16,094.33 = 6,627.49/x
  3. Step 3: Cross multiply
    11,662.81x = 16,094.33 × 6,627.49
  4. Step 4: Simplify right side
    11,662.81x = 106,664,937.76
  5. Step 5: Solve for x
    x = 106,664,937.76/11,662.81
  6. Step 6: Final answer
    x = 9,145.73

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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.