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Finding the Fourth Proportional to 7,171.99, 10,764.68 and 3,664.42

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Solution

The fourth proportional to 7,171.99, 10,764.68 and 3,664.42 is: 5,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.99 : 10,764.68 = 3,664.42 : x
  2. Step 2: Convert to fraction form
    7,171.99/10,764.68 = 3,664.42/x
  3. Step 3: Cross multiply
    7,171.99x = 10,764.68 × 3,664.42
  4. Step 4: Simplify right side
    7,171.99x = 39,446,263.45
  5. Step 5: Solve for x
    x = 39,446,263.45/7,171.99
  6. Step 6: Final answer
    x = 5,500.05

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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.