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Finding the Fourth Proportional to 11,894.85, 17,823.74 and 4,495.27

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Solution

The fourth proportional to 11,894.85, 17,823.74 and 4,495.27 is: 6,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.85 : 17,823.74 = 4,495.27 : x
  2. Step 2: Convert to fraction form
    11,894.85/17,823.74 = 4,495.27/x
  3. Step 3: Cross multiply
    11,894.85x = 17,823.74 × 4,495.27
  4. Step 4: Simplify right side
    11,894.85x = 80,122,412.11
  5. Step 5: Solve for x
    x = 80,122,412.11/11,894.85
  6. Step 6: Final answer
    x = 6,735.89

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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.