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Finding the Fourth Proportional to 11,907.81, 17,862.15 and 4,512.81

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Solution

The fourth proportional to 11,907.81, 17,862.15 and 4,512.81 is: 6,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.81 : 17,862.15 = 4,512.81 : x
  2. Step 2: Convert to fraction form
    11,907.81/17,862.15 = 4,512.81/x
  3. Step 3: Cross multiply
    11,907.81x = 17,862.15 × 4,512.81
  4. Step 4: Simplify right side
    11,907.81x = 80,608,489.14
  5. Step 5: Solve for x
    x = 80,608,489.14/11,907.81
  6. Step 6: Final answer
    x = 6,769.38

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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.