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Finding the Fourth Proportional to 11,892.22, 17,838.50 and 5,652.87

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Solution

The fourth proportional to 11,892.22, 17,838.50 and 5,652.87 is: 8,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.22 : 17,838.50 = 5,652.87 : x
  2. Step 2: Convert to fraction form
    11,892.22/17,838.50 = 5,652.87/x
  3. Step 3: Cross multiply
    11,892.22x = 17,838.50 × 5,652.87
  4. Step 4: Simplify right side
    11,892.22x = 100,838,626.34
  5. Step 5: Solve for x
    x = 100,838,626.34/11,892.22
  6. Step 6: Final answer
    x = 8,479.38

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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.