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Finding the Fourth Proportional to 11,894.60, 17,822.70 and 7,504.20

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Solution

The fourth proportional to 11,894.60, 17,822.70 and 7,504.20 is: 11,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.60 : 17,822.70 = 7,504.20 : x
  2. Step 2: Convert to fraction form
    11,894.60/17,822.70 = 7,504.20/x
  3. Step 3: Cross multiply
    11,894.60x = 17,822.70 × 7,504.20
  4. Step 4: Simplify right side
    11,894.60x = 133,745,105.34
  5. Step 5: Solve for x
    x = 133,745,105.34/11,894.60
  6. Step 6: Final answer
    x = 11,244.19

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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.