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Finding the Fourth Proportional to 8,494.50, 11,720.28 and 5,092.04

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Solution

The fourth proportional to 8,494.50, 11,720.28 and 5,092.04 is: 7,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.50 : 11,720.28 = 5,092.04 : x
  2. Step 2: Convert to fraction form
    8,494.50/11,720.28 = 5,092.04/x
  3. Step 3: Cross multiply
    8,494.50x = 11,720.28 × 5,092.04
  4. Step 4: Simplify right side
    8,494.50x = 59,680,142.84
  5. Step 5: Solve for x
    x = 59,680,142.84/8,494.50
  6. Step 6: Final answer
    x = 7,025.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.