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Finding the Fourth Proportional to 12,035.31, 16,609.38 and 7,256.79

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Solution

The fourth proportional to 12,035.31, 16,609.38 and 7,256.79 is: 10,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.31 : 16,609.38 = 7,256.79 : x
  2. Step 2: Convert to fraction form
    12,035.31/16,609.38 = 7,256.79/x
  3. Step 3: Cross multiply
    12,035.31x = 16,609.38 × 7,256.79
  4. Step 4: Simplify right side
    12,035.31x = 120,530,782.69
  5. Step 5: Solve for x
    x = 120,530,782.69/12,035.31
  6. Step 6: Final answer
    x = 10,014.76

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Why These Related Problems?

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