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Finding the Fourth Proportional to 7,855.53, 10,829.61 and 5,201.97

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Solution

The fourth proportional to 7,855.53, 10,829.61 and 5,201.97 is: 7,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.53 : 10,829.61 = 5,201.97 : x
  2. Step 2: Convert to fraction form
    7,855.53/10,829.61 = 5,201.97/x
  3. Step 3: Cross multiply
    7,855.53x = 10,829.61 × 5,201.97
  4. Step 4: Simplify right side
    7,855.53x = 56,335,306.33
  5. Step 5: Solve for x
    x = 56,335,306.33/7,855.53
  6. Step 6: Final answer
    x = 7,171.42

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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.