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Finding the Fourth Proportional to 10,020.37, 13,825.62 and 6,479.32

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Solution

The fourth proportional to 10,020.37, 13,825.62 and 6,479.32 is: 8,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.37 : 13,825.62 = 6,479.32 : x
  2. Step 2: Convert to fraction form
    10,020.37/13,825.62 = 6,479.32/x
  3. Step 3: Cross multiply
    10,020.37x = 13,825.62 × 6,479.32
  4. Step 4: Simplify right side
    10,020.37x = 89,580,514.65
  5. Step 5: Solve for x
    x = 89,580,514.65/10,020.37
  6. Step 6: Final answer
    x = 8,939.85

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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.