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Finding the Fourth Proportional to 11,741.75, 17,614.44 and 5,502.32

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Solution

The fourth proportional to 11,741.75, 17,614.44 and 5,502.32 is: 8,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.75 : 17,614.44 = 5,502.32 : x
  2. Step 2: Convert to fraction form
    11,741.75/17,614.44 = 5,502.32/x
  3. Step 3: Cross multiply
    11,741.75x = 17,614.44 × 5,502.32
  4. Step 4: Simplify right side
    11,741.75x = 96,920,285.50
  5. Step 5: Solve for x
    x = 96,920,285.50/11,741.75
  6. Step 6: Final answer
    x = 8,254.33

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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.