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Finding the Fourth Proportional to 11,602.92, 17,407.08 and 3,811.26

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Solution

The fourth proportional to 11,602.92, 17,407.08 and 3,811.26 is: 5,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.92 : 17,407.08 = 3,811.26 : x
  2. Step 2: Convert to fraction form
    11,602.92/17,407.08 = 3,811.26/x
  3. Step 3: Cross multiply
    11,602.92x = 17,407.08 × 3,811.26
  4. Step 4: Simplify right side
    11,602.92x = 66,342,907.72
  5. Step 5: Solve for x
    x = 66,342,907.72/11,602.92
  6. Step 6: Final answer
    x = 5,717.78

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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.