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Finding the Fourth Proportional to 8,109.68, 11,192.45 and 5,126.27

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Solution

The fourth proportional to 8,109.68, 11,192.45 and 5,126.27 is: 7,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.68 : 11,192.45 = 5,126.27 : x
  2. Step 2: Convert to fraction form
    8,109.68/11,192.45 = 5,126.27/x
  3. Step 3: Cross multiply
    8,109.68x = 11,192.45 × 5,126.27
  4. Step 4: Simplify right side
    8,109.68x = 57,375,439.07
  5. Step 5: Solve for x
    x = 57,375,439.07/8,109.68
  6. Step 6: Final answer
    x = 7,074.94

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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.