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Finding the Fourth Proportional to 12,164.12, 16,786.50 and 6,575.12

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Solution

The fourth proportional to 12,164.12, 16,786.50 and 6,575.12 is: 9,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.12 : 16,786.50 = 6,575.12 : x
  2. Step 2: Convert to fraction form
    12,164.12/16,786.50 = 6,575.12/x
  3. Step 3: Cross multiply
    12,164.12x = 16,786.50 × 6,575.12
  4. Step 4: Simplify right side
    12,164.12x = 110,373,251.88
  5. Step 5: Solve for x
    x = 110,373,251.88/12,164.12
  6. Step 6: Final answer
    x = 9,073.67

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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.