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Finding the Fourth Proportional to 7,189.34, 10,786.68 and 3,239.41

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Solution

The fourth proportional to 7,189.34, 10,786.68 and 3,239.41 is: 4,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.34 : 10,786.68 = 3,239.41 : x
  2. Step 2: Convert to fraction form
    7,189.34/10,786.68 = 3,239.41/x
  3. Step 3: Cross multiply
    7,189.34x = 10,786.68 × 3,239.41
  4. Step 4: Simplify right side
    7,189.34x = 34,942,479.06
  5. Step 5: Solve for x
    x = 34,942,479.06/7,189.34
  6. Step 6: Final answer
    x = 4,860.32

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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.