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Finding the Fourth Proportional to 7,309.31, 10,964.14 and 2,379.34

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Solution

The fourth proportional to 7,309.31, 10,964.14 and 2,379.34 is: 3,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.31 : 10,964.14 = 2,379.34 : x
  2. Step 2: Convert to fraction form
    7,309.31/10,964.14 = 2,379.34/x
  3. Step 3: Cross multiply
    7,309.31x = 10,964.14 × 2,379.34
  4. Step 4: Simplify right side
    7,309.31x = 26,087,353.12
  5. Step 5: Solve for x
    x = 26,087,353.12/7,309.31
  6. Step 6: Final answer
    x = 3,569.06

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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.