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Finding the Fourth Proportional to 12,004.62, 16,556.85 and 7,288.80

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Solution

The fourth proportional to 12,004.62, 16,556.85 and 7,288.80 is: 10,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.62 : 16,556.85 = 7,288.80 : x
  2. Step 2: Convert to fraction form
    12,004.62/16,556.85 = 7,288.80/x
  3. Step 3: Cross multiply
    12,004.62x = 16,556.85 × 7,288.80
  4. Step 4: Simplify right side
    12,004.62x = 120,679,568.28
  5. Step 5: Solve for x
    x = 120,679,568.28/12,004.62
  6. Step 6: Final answer
    x = 10,052.76

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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.