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Finding the Fourth Proportional to 11,741.40, 17,606.34 and 5,811.44

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Solution

The fourth proportional to 11,741.40, 17,606.34 and 5,811.44 is: 8,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.40 : 17,606.34 = 5,811.44 : x
  2. Step 2: Convert to fraction form
    11,741.40/17,606.34 = 5,811.44/x
  3. Step 3: Cross multiply
    11,741.40x = 17,606.34 × 5,811.44
  4. Step 4: Simplify right side
    11,741.40x = 102,318,100.50
  5. Step 5: Solve for x
    x = 102,318,100.50/11,741.40
  6. Step 6: Final answer
    x = 8,714.30

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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.