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Finding the Fourth Proportional to 11,238.65, 15,514.89 and 6,765.83

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Solution

The fourth proportional to 11,238.65, 15,514.89 and 6,765.83 is: 9,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.65 : 15,514.89 = 6,765.83 : x
  2. Step 2: Convert to fraction form
    11,238.65/15,514.89 = 6,765.83/x
  3. Step 3: Cross multiply
    11,238.65x = 15,514.89 × 6,765.83
  4. Step 4: Simplify right side
    11,238.65x = 104,971,108.21
  5. Step 5: Solve for x
    x = 104,971,108.21/11,238.65
  6. Step 6: Final answer
    x = 9,340.19

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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.