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Finding the Fourth Proportional to 7,837.48, 11,747.44 and 5,982.45

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Solution

The fourth proportional to 7,837.48, 11,747.44 and 5,982.45 is: 8,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.48 : 11,747.44 = 5,982.45 : x
  2. Step 2: Convert to fraction form
    7,837.48/11,747.44 = 5,982.45/x
  3. Step 3: Cross multiply
    7,837.48x = 11,747.44 × 5,982.45
  4. Step 4: Simplify right side
    7,837.48x = 70,278,472.43
  5. Step 5: Solve for x
    x = 70,278,472.43/7,837.48
  6. Step 6: Final answer
    x = 8,966.97

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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.