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Finding the Fourth Proportional to 11,367.68, 17,042.96 and 7,659.50

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Solution

The fourth proportional to 11,367.68, 17,042.96 and 7,659.50 is: 11,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.68 : 17,042.96 = 7,659.50 : x
  2. Step 2: Convert to fraction form
    11,367.68/17,042.96 = 7,659.50/x
  3. Step 3: Cross multiply
    11,367.68x = 17,042.96 × 7,659.50
  4. Step 4: Simplify right side
    11,367.68x = 130,540,552.12
  5. Step 5: Solve for x
    x = 130,540,552.12/11,367.68
  6. Step 6: Final answer
    x = 11,483.48

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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.