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Finding the Fourth Proportional to 11,293.65, 15,584.13 and 6,514.38

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Solution

The fourth proportional to 11,293.65, 15,584.13 and 6,514.38 is: 8,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.65 : 15,584.13 = 6,514.38 : x
  2. Step 2: Convert to fraction form
    11,293.65/15,584.13 = 6,514.38/x
  3. Step 3: Cross multiply
    11,293.65x = 15,584.13 × 6,514.38
  4. Step 4: Simplify right side
    11,293.65x = 101,520,944.79
  5. Step 5: Solve for x
    x = 101,520,944.79/11,293.65
  6. Step 6: Final answer
    x = 8,989.21

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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.