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Finding the Fourth Proportional to 11,811.34, 17,704.86 and 4,014.28

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Solution

The fourth proportional to 11,811.34, 17,704.86 and 4,014.28 is: 6,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.34 : 17,704.86 = 4,014.28 : x
  2. Step 2: Convert to fraction form
    11,811.34/17,704.86 = 4,014.28/x
  3. Step 3: Cross multiply
    11,811.34x = 17,704.86 × 4,014.28
  4. Step 4: Simplify right side
    11,811.34x = 71,072,265.40
  5. Step 5: Solve for x
    x = 71,072,265.40/11,811.34
  6. Step 6: Final answer
    x = 6,017.29

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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.