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Finding the Fourth Proportional to 8,310.23, 11,517.63 and 8,154.71

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Solution

The fourth proportional to 8,310.23, 11,517.63 and 8,154.71 is: 11,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.23 : 11,517.63 = 8,154.71 : x
  2. Step 2: Convert to fraction form
    8,310.23/11,517.63 = 8,154.71/x
  3. Step 3: Cross multiply
    8,310.23x = 11,517.63 × 8,154.71
  4. Step 4: Simplify right side
    8,310.23x = 93,922,932.54
  5. Step 5: Solve for x
    x = 93,922,932.54/8,310.23
  6. Step 6: Final answer
    x = 11,302.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.