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Finding the Fourth Proportional to 7,161.62, 10,735.94 and 2,543.54

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Solution

The fourth proportional to 7,161.62, 10,735.94 and 2,543.54 is: 3,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.62 : 10,735.94 = 2,543.54 : x
  2. Step 2: Convert to fraction form
    7,161.62/10,735.94 = 2,543.54/x
  3. Step 3: Cross multiply
    7,161.62x = 10,735.94 × 2,543.54
  4. Step 4: Simplify right side
    7,161.62x = 27,307,245.51
  5. Step 5: Solve for x
    x = 27,307,245.51/7,161.62
  6. Step 6: Final answer
    x = 3,813.00

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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.