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Finding the Fourth Proportional to 7,259.54, 10,863.39 and 6,771.38

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Solution

The fourth proportional to 7,259.54, 10,863.39 and 6,771.38 is: 10,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.54 : 10,863.39 = 6,771.38 : x
  2. Step 2: Convert to fraction form
    7,259.54/10,863.39 = 6,771.38/x
  3. Step 3: Cross multiply
    7,259.54x = 10,863.39 × 6,771.38
  4. Step 4: Simplify right side
    7,259.54x = 73,560,141.78
  5. Step 5: Solve for x
    x = 73,560,141.78/7,259.54
  6. Step 6: Final answer
    x = 10,132.89

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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.