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Finding the Fourth Proportional to 7,892.02, 11,837.91 and 4,565.27

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Solution

The fourth proportional to 7,892.02, 11,837.91 and 4,565.27 is: 6,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.02 : 11,837.91 = 4,565.27 : x
  2. Step 2: Convert to fraction form
    7,892.02/11,837.91 = 4,565.27/x
  3. Step 3: Cross multiply
    7,892.02x = 11,837.91 × 4,565.27
  4. Step 4: Simplify right side
    7,892.02x = 54,043,255.39
  5. Step 5: Solve for x
    x = 54,043,255.39/7,892.02
  6. Step 6: Final answer
    x = 6,847.84

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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.