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Finding the Fourth Proportional to 8,154.72, 11,169.19 and 7,675.97

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Solution

The fourth proportional to 8,154.72, 11,169.19 and 7,675.97 is: 10,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.72 : 11,169.19 = 7,675.97 : x
  2. Step 2: Convert to fraction form
    8,154.72/11,169.19 = 7,675.97/x
  3. Step 3: Cross multiply
    8,154.72x = 11,169.19 × 7,675.97
  4. Step 4: Simplify right side
    8,154.72x = 85,734,367.36
  5. Step 5: Solve for x
    x = 85,734,367.36/8,154.72
  6. Step 6: Final answer
    x = 10,513.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.