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Finding the Fourth Proportional to 7,166.98, 10,741.36 and 3,882.84

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Solution

The fourth proportional to 7,166.98, 10,741.36 and 3,882.84 is: 5,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.98 : 10,741.36 = 3,882.84 : x
  2. Step 2: Convert to fraction form
    7,166.98/10,741.36 = 3,882.84/x
  3. Step 3: Cross multiply
    7,166.98x = 10,741.36 × 3,882.84
  4. Step 4: Simplify right side
    7,166.98x = 41,706,982.26
  5. Step 5: Solve for x
    x = 41,706,982.26/7,166.98
  6. Step 6: Final answer
    x = 5,819.32

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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.