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Finding the Fourth Proportional to 10,659.23, 14,709.38 and 5,879.37

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Solution

The fourth proportional to 10,659.23, 14,709.38 and 5,879.37 is: 8,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.23 : 14,709.38 = 5,879.37 : x
  2. Step 2: Convert to fraction form
    10,659.23/14,709.38 = 5,879.37/x
  3. Step 3: Cross multiply
    10,659.23x = 14,709.38 × 5,879.37
  4. Step 4: Simplify right side
    10,659.23x = 86,481,820.16
  5. Step 5: Solve for x
    x = 86,481,820.16/10,659.23
  6. Step 6: Final answer
    x = 8,113.32

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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.