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Finding the Fourth Proportional to 7,161.69, 10,749.82 and 5,084.04

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Solution

The fourth proportional to 7,161.69, 10,749.82 and 5,084.04 is: 7,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.69 : 10,749.82 = 5,084.04 : x
  2. Step 2: Convert to fraction form
    7,161.69/10,749.82 = 5,084.04/x
  3. Step 3: Cross multiply
    7,161.69x = 10,749.82 × 5,084.04
  4. Step 4: Simplify right side
    7,161.69x = 54,652,514.87
  5. Step 5: Solve for x
    x = 54,652,514.87/7,161.69
  6. Step 6: Final answer
    x = 7,631.23

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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.