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Finding the Fourth Proportional to 11,682.56, 17,523.84 and 2,917.46

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Solution

The fourth proportional to 11,682.56, 17,523.84 and 2,917.46 is: 4,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.56 : 17,523.84 = 2,917.46 : x
  2. Step 2: Convert to fraction form
    11,682.56/17,523.84 = 2,917.46/x
  3. Step 3: Cross multiply
    11,682.56x = 17,523.84 × 2,917.46
  4. Step 4: Simplify right side
    11,682.56x = 51,125,102.25
  5. Step 5: Solve for x
    x = 51,125,102.25/11,682.56
  6. Step 6: Final answer
    x = 4,376.19

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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.