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Finding the Fourth Proportional to 8,232.30, 11,362.77 and 5,086.71

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Solution

The fourth proportional to 8,232.30, 11,362.77 and 5,086.71 is: 7,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.30 : 11,362.77 = 5,086.71 : x
  2. Step 2: Convert to fraction form
    8,232.30/11,362.77 = 5,086.71/x
  3. Step 3: Cross multiply
    8,232.30x = 11,362.77 × 5,086.71
  4. Step 4: Simplify right side
    8,232.30x = 57,799,115.79
  5. Step 5: Solve for x
    x = 57,799,115.79/8,232.30
  6. Step 6: Final answer
    x = 7,021.02

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