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Finding the Fourth Proportional to 11,751.71, 17,629.22 and 3,432.34

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Solution

The fourth proportional to 11,751.71, 17,629.22 and 3,432.34 is: 5,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.71 : 17,629.22 = 3,432.34 : x
  2. Step 2: Convert to fraction form
    11,751.71/17,629.22 = 3,432.34/x
  3. Step 3: Cross multiply
    11,751.71x = 17,629.22 × 3,432.34
  4. Step 4: Simplify right side
    11,751.71x = 60,509,371.67
  5. Step 5: Solve for x
    x = 60,509,371.67/11,751.71
  6. Step 6: Final answer
    x = 5,148.98

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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.