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Finding the Fourth Proportional to 11,042.94, 16,564.94 and 3,647.24

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Solution

The fourth proportional to 11,042.94, 16,564.94 and 3,647.24 is: 5,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.94 : 16,564.94 = 3,647.24 : x
  2. Step 2: Convert to fraction form
    11,042.94/16,564.94 = 3,647.24/x
  3. Step 3: Cross multiply
    11,042.94x = 16,564.94 × 3,647.24
  4. Step 4: Simplify right side
    11,042.94x = 60,416,311.77
  5. Step 5: Solve for x
    x = 60,416,311.77/11,042.94
  6. Step 6: Final answer
    x = 5,471.04

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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.