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Finding the Fourth Proportional to 10,586.44, 15,932.84 and 7,967.51

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Solution

The fourth proportional to 10,586.44, 15,932.84 and 7,967.51 is: 11,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.44 : 15,932.84 = 7,967.51 : x
  2. Step 2: Convert to fraction form
    10,586.44/15,932.84 = 7,967.51/x
  3. Step 3: Cross multiply
    10,586.44x = 15,932.84 × 7,967.51
  4. Step 4: Simplify right side
    10,586.44x = 126,945,062.03
  5. Step 5: Solve for x
    x = 126,945,062.03/10,586.44
  6. Step 6: Final answer
    x = 11,991.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.