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Finding the Fourth Proportional to 11,659.68, 17,489.16 and 4,734

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Solution

The fourth proportional to 11,659.68, 17,489.16 and 4,734 is: 7,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.68 : 17,489.16 = 4,734 : x
  2. Step 2: Convert to fraction form
    11,659.68/17,489.16 = 4,734/x
  3. Step 3: Cross multiply
    11,659.68x = 17,489.16 × 4,734
  4. Step 4: Simplify right side
    11,659.68x = 82,793,683.44
  5. Step 5: Solve for x
    x = 82,793,683.44/11,659.68
  6. Step 6: Final answer
    x = 7,100.85

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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.