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Finding the Fourth Proportional to 27,709.92, 41,564.88 and 6,933.42

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Solution

The fourth proportional to 27,709.92, 41,564.88 and 6,933.42 is: 10,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.92 : 41,564.88 = 6,933.42 : x
  2. Step 2: Convert to fraction form
    27,709.92/41,564.88 = 6,933.42/x
  3. Step 3: Cross multiply
    27,709.92x = 41,564.88 × 6,933.42
  4. Step 4: Simplify right side
    27,709.92x = 288,186,770.29
  5. Step 5: Solve for x
    x = 288,186,770.29/27,709.92
  6. Step 6: Final answer
    x = 10,400.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.