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Finding the Fourth Proportional to 8,491.69, 12,738.24 and 2,648.30

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Solution

The fourth proportional to 8,491.69, 12,738.24 and 2,648.30 is: 3,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.69 : 12,738.24 = 2,648.30 : x
  2. Step 2: Convert to fraction form
    8,491.69/12,738.24 = 2,648.30/x
  3. Step 3: Cross multiply
    8,491.69x = 12,738.24 × 2,648.30
  4. Step 4: Simplify right side
    8,491.69x = 33,734,712.84
  5. Step 5: Solve for x
    x = 33,734,712.84/8,491.69
  6. Step 6: Final answer
    x = 3,972.67

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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.