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Finding the Fourth Proportional to 7,694.33, 11,513.39 and 7,106.27

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Solution

The fourth proportional to 7,694.33, 11,513.39 and 7,106.27 is: 10,633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.33 : 11,513.39 = 7,106.27 : x
  2. Step 2: Convert to fraction form
    7,694.33/11,513.39 = 7,106.27/x
  3. Step 3: Cross multiply
    7,694.33x = 11,513.39 × 7,106.27
  4. Step 4: Simplify right side
    7,694.33x = 81,817,164.86
  5. Step 5: Solve for x
    x = 81,817,164.86/7,694.33
  6. Step 6: Final answer
    x = 10,633.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.