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Finding the Fourth Proportional to 7,936.23, 11,813.65 and 7,817.97

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Solution

The fourth proportional to 7,936.23, 11,813.65 and 7,817.97 is: 11,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.23 : 11,813.65 = 7,817.97 : x
  2. Step 2: Convert to fraction form
    7,936.23/11,813.65 = 7,817.97/x
  3. Step 3: Cross multiply
    7,936.23x = 11,813.65 × 7,817.97
  4. Step 4: Simplify right side
    7,936.23x = 92,358,719.59
  5. Step 5: Solve for x
    x = 92,358,719.59/7,936.23
  6. Step 6: Final answer
    x = 11,637.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.