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Finding the Fourth Proportional to 11,339.55, 17,016 and 4,765.23

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Solution

The fourth proportional to 11,339.55, 17,016 and 4,765.23 is: 7,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.55 : 17,016 = 4,765.23 : x
  2. Step 2: Convert to fraction form
    11,339.55/17,016 = 4,765.23/x
  3. Step 3: Cross multiply
    11,339.55x = 17,016 × 4,765.23
  4. Step 4: Simplify right side
    11,339.55x = 81,085,153.68
  5. Step 5: Solve for x
    x = 81,085,153.68/11,339.55
  6. Step 6: Final answer
    x = 7,150.65

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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.