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Finding the Fourth Proportional to 7,679.50, 10,589.88 and 7,233.10

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Solution

The fourth proportional to 7,679.50, 10,589.88 and 7,233.10 is: 9,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.50 : 10,589.88 = 7,233.10 : x
  2. Step 2: Convert to fraction form
    7,679.50/10,589.88 = 7,233.10/x
  3. Step 3: Cross multiply
    7,679.50x = 10,589.88 × 7,233.10
  4. Step 4: Simplify right side
    7,679.50x = 76,597,661.03
  5. Step 5: Solve for x
    x = 76,597,661.03/7,679.50
  6. Step 6: Final answer
    x = 9,974.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.