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Finding the Fourth Proportional to 8,209.44, 11,329.66 and 4,672.88

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Solution

The fourth proportional to 8,209.44, 11,329.66 and 4,672.88 is: 6,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.44 : 11,329.66 = 4,672.88 : x
  2. Step 2: Convert to fraction form
    8,209.44/11,329.66 = 4,672.88/x
  3. Step 3: Cross multiply
    8,209.44x = 11,329.66 × 4,672.88
  4. Step 4: Simplify right side
    8,209.44x = 52,942,141.62
  5. Step 5: Solve for x
    x = 52,942,141.62/8,209.44
  6. Step 6: Final answer
    x = 6,448.93

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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.