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Finding the Fourth Proportional to 11,865.42, 17,805 and 4,844.34

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Solution

The fourth proportional to 11,865.42, 17,805 and 4,844.34 is: 7,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.42 : 17,805 = 4,844.34 : x
  2. Step 2: Convert to fraction form
    11,865.42/17,805 = 4,844.34/x
  3. Step 3: Cross multiply
    11,865.42x = 17,805 × 4,844.34
  4. Step 4: Simplify right side
    11,865.42x = 86,253,473.70
  5. Step 5: Solve for x
    x = 86,253,473.70/11,865.42
  6. Step 6: Final answer
    x = 7,269.31

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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.