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Finding the Fourth Proportional to 11,838.56, 17,752.08 and 6,294.56

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Solution

The fourth proportional to 11,838.56, 17,752.08 and 6,294.56 is: 9,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.56 : 17,752.08 = 6,294.56 : x
  2. Step 2: Convert to fraction form
    11,838.56/17,752.08 = 6,294.56/x
  3. Step 3: Cross multiply
    11,838.56x = 17,752.08 × 6,294.56
  4. Step 4: Simplify right side
    11,838.56x = 111,741,532.68
  5. Step 5: Solve for x
    x = 111,741,532.68/11,838.56
  6. Step 6: Final answer
    x = 9,438.78

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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.