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Finding the Fourth Proportional to 11,607.41, 17,414.06 and 5,371.91

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Solution

The fourth proportional to 11,607.41, 17,414.06 and 5,371.91 is: 8,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.41 : 17,414.06 = 5,371.91 : x
  2. Step 2: Convert to fraction form
    11,607.41/17,414.06 = 5,371.91/x
  3. Step 3: Cross multiply
    11,607.41x = 17,414.06 × 5,371.91
  4. Step 4: Simplify right side
    11,607.41x = 93,546,714.43
  5. Step 5: Solve for x
    x = 93,546,714.43/11,607.41
  6. Step 6: Final answer
    x = 8,059.23

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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.