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Finding the Fourth Proportional to 11,882.70, 17,828.10 and 3,562.92

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Solution

The fourth proportional to 11,882.70, 17,828.10 and 3,562.92 is: 5,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.70 : 17,828.10 = 3,562.92 : x
  2. Step 2: Convert to fraction form
    11,882.70/17,828.10 = 3,562.92/x
  3. Step 3: Cross multiply
    11,882.70x = 17,828.10 × 3,562.92
  4. Step 4: Simplify right side
    11,882.70x = 63,520,094.05
  5. Step 5: Solve for x
    x = 63,520,094.05/11,882.70
  6. Step 6: Final answer
    x = 5,345.59

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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.