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Finding the Fourth Proportional to 11,532.84, 17,294.82 and 3,633.67

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Solution

The fourth proportional to 11,532.84, 17,294.82 and 3,633.67 is: 5,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.84 : 17,294.82 = 3,633.67 : x
  2. Step 2: Convert to fraction form
    11,532.84/17,294.82 = 3,633.67/x
  3. Step 3: Cross multiply
    11,532.84x = 17,294.82 × 3,633.67
  4. Step 4: Simplify right side
    11,532.84x = 62,843,668.59
  5. Step 5: Solve for x
    x = 62,843,668.59/11,532.84
  6. Step 6: Final answer
    x = 5,449.11

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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.