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Finding the Fourth Proportional to 7,089.56, 10,634.24 and 3,191.20

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Solution

The fourth proportional to 7,089.56, 10,634.24 and 3,191.20 is: 4,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.56 : 10,634.24 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    7,089.56/10,634.24 = 3,191.20/x
  3. Step 3: Cross multiply
    7,089.56x = 10,634.24 × 3,191.20
  4. Step 4: Simplify right side
    7,089.56x = 33,935,986.69
  5. Step 5: Solve for x
    x = 33,935,986.69/7,089.56
  6. Step 6: Final answer
    x = 4,786.75

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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.