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Finding the Fourth Proportional to 8,208.72, 12,314.66 and 2,663.44

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Solution

The fourth proportional to 8,208.72, 12,314.66 and 2,663.44 is: 3,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.72 : 12,314.66 = 2,663.44 : x
  2. Step 2: Convert to fraction form
    8,208.72/12,314.66 = 2,663.44/x
  3. Step 3: Cross multiply
    8,208.72x = 12,314.66 × 2,663.44
  4. Step 4: Simplify right side
    8,208.72x = 32,799,358.03
  5. Step 5: Solve for x
    x = 32,799,358.03/8,208.72
  6. Step 6: Final answer
    x = 3,995.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.