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Finding the Fourth Proportional to 11,974.32, 16,525.44 and 7,794.72

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Solution

The fourth proportional to 11,974.32, 16,525.44 and 7,794.72 is: 10,757.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.32 : 16,525.44 = 7,794.72 : x
  2. Step 2: Convert to fraction form
    11,974.32/16,525.44 = 7,794.72/x
  3. Step 3: Cross multiply
    11,974.32x = 16,525.44 × 7,794.72
  4. Step 4: Simplify right side
    11,974.32x = 128,811,177.68
  5. Step 5: Solve for x
    x = 128,811,177.68/11,974.32
  6. Step 6: Final answer
    x = 10,757.29

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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.