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Finding the Fourth Proportional to 7,309.61, 10,964.51 and 2,379.27

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Solution

The fourth proportional to 7,309.61, 10,964.51 and 2,379.27 is: 3,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.61 : 10,964.51 = 2,379.27 : x
  2. Step 2: Convert to fraction form
    7,309.61/10,964.51 = 2,379.27/x
  3. Step 3: Cross multiply
    7,309.61x = 10,964.51 × 2,379.27
  4. Step 4: Simplify right side
    7,309.61x = 26,087,517.81
  5. Step 5: Solve for x
    x = 26,087,517.81/7,309.61
  6. Step 6: Final answer
    x = 3,568.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.