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Finding the Fourth Proportional to 8,120.97, 11,178.05 and 5,759.01

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Solution

The fourth proportional to 8,120.97, 11,178.05 and 5,759.01 is: 7,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.97 : 11,178.05 = 5,759.01 : x
  2. Step 2: Convert to fraction form
    8,120.97/11,178.05 = 5,759.01/x
  3. Step 3: Cross multiply
    8,120.97x = 11,178.05 × 5,759.01
  4. Step 4: Simplify right side
    8,120.97x = 64,374,472.94
  5. Step 5: Solve for x
    x = 64,374,472.94/8,120.97
  6. Step 6: Final answer
    x = 7,926.94

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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.