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Finding the Fourth Proportional to 11,894.85, 17,842.28 and 7,506.27

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Solution

The fourth proportional to 11,894.85, 17,842.28 and 7,506.27 is: 11,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.85 : 17,842.28 = 7,506.27 : x
  2. Step 2: Convert to fraction form
    11,894.85/17,842.28 = 7,506.27/x
  3. Step 3: Cross multiply
    11,894.85x = 17,842.28 × 7,506.27
  4. Step 4: Simplify right side
    11,894.85x = 133,928,933.56
  5. Step 5: Solve for x
    x = 133,928,933.56/11,894.85
  6. Step 6: Final answer
    x = 11,259.41

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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.