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Finding the Fourth Proportional to 11,911.12, 17,871.64 and 5,244.21

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Solution

The fourth proportional to 11,911.12, 17,871.64 and 5,244.21 is: 7,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.12 : 17,871.64 = 5,244.21 : x
  2. Step 2: Convert to fraction form
    11,911.12/17,871.64 = 5,244.21/x
  3. Step 3: Cross multiply
    11,911.12x = 17,871.64 × 5,244.21
  4. Step 4: Simplify right side
    11,911.12x = 93,722,620.09
  5. Step 5: Solve for x
    x = 93,722,620.09/11,911.12
  6. Step 6: Final answer
    x = 7,868.50

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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.