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Finding the Fourth Proportional to 8,214.75, 11,329.74 and 5,229.63

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Solution

The fourth proportional to 8,214.75, 11,329.74 and 5,229.63 is: 7,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.75 : 11,329.74 = 5,229.63 : x
  2. Step 2: Convert to fraction form
    8,214.75/11,329.74 = 5,229.63/x
  3. Step 3: Cross multiply
    8,214.75x = 11,329.74 × 5,229.63
  4. Step 4: Simplify right side
    8,214.75x = 59,250,348.20
  5. Step 5: Solve for x
    x = 59,250,348.20/8,214.75
  6. Step 6: Final answer
    x = 7,212.68

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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.