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Finding the Fourth Proportional to 7,309.50, 10,964.38 and 2,379.12

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Solution

The fourth proportional to 7,309.50, 10,964.38 and 2,379.12 is: 3,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.50 : 10,964.38 = 2,379.12 : x
  2. Step 2: Convert to fraction form
    7,309.50/10,964.38 = 2,379.12/x
  3. Step 3: Cross multiply
    7,309.50x = 10,964.38 × 2,379.12
  4. Step 4: Simplify right side
    7,309.50x = 26,085,575.75
  5. Step 5: Solve for x
    x = 26,085,575.75/7,309.50
  6. Step 6: Final answer
    x = 3,568.72

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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.