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Finding the Fourth Proportional to 8,221.69, 12,336.58 and 3,838.51

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Solution

The fourth proportional to 8,221.69, 12,336.58 and 3,838.51 is: 5,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.69 : 12,336.58 = 3,838.51 : x
  2. Step 2: Convert to fraction form
    8,221.69/12,336.58 = 3,838.51/x
  3. Step 3: Cross multiply
    8,221.69x = 12,336.58 × 3,838.51
  4. Step 4: Simplify right side
    8,221.69x = 47,354,085.70
  5. Step 5: Solve for x
    x = 47,354,085.70/8,221.69
  6. Step 6: Final answer
    x = 5,759.65

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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.