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Finding the Fourth Proportional to 7,892.13, 11,832.21 and 4,771.41

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Solution

The fourth proportional to 7,892.13, 11,832.21 and 4,771.41 is: 7,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.13 : 11,832.21 = 4,771.41 : x
  2. Step 2: Convert to fraction form
    7,892.13/11,832.21 = 4,771.41/x
  3. Step 3: Cross multiply
    7,892.13x = 11,832.21 × 4,771.41
  4. Step 4: Simplify right side
    7,892.13x = 56,456,280.75
  5. Step 5: Solve for x
    x = 56,456,280.75/7,892.13
  6. Step 6: Final answer
    x = 7,153.49

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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.