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Finding the Fourth Proportional to 11,843.19, 17,771.00 and 4,828.40

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Solution

The fourth proportional to 11,843.19, 17,771.00 and 4,828.40 is: 7,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.19 : 17,771.00 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    11,843.19/17,771.00 = 4,828.40/x
  3. Step 3: Cross multiply
    11,843.19x = 17,771.00 × 4,828.40
  4. Step 4: Simplify right side
    11,843.19x = 85,805,383.40
  5. Step 5: Solve for x
    x = 85,805,383.40/11,843.19
  6. Step 6: Final answer
    x = 7,245.12

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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.