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Finding the Fourth Proportional to 8,221.79, 11,344.49 and 4,684.92

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Solution

The fourth proportional to 8,221.79, 11,344.49 and 4,684.92 is: 6,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.79 : 11,344.49 = 4,684.92 : x
  2. Step 2: Convert to fraction form
    8,221.79/11,344.49 = 4,684.92/x
  3. Step 3: Cross multiply
    8,221.79x = 11,344.49 × 4,684.92
  4. Step 4: Simplify right side
    8,221.79x = 53,148,028.09
  5. Step 5: Solve for x
    x = 53,148,028.09/8,221.79
  6. Step 6: Final answer
    x = 6,464.29

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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.