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Finding the Fourth Proportional to 8,161.83, 11,270.22 and 5,182.95

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Solution

The fourth proportional to 8,161.83, 11,270.22 and 5,182.95 is: 7,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.83 : 11,270.22 = 5,182.95 : x
  2. Step 2: Convert to fraction form
    8,161.83/11,270.22 = 5,182.95/x
  3. Step 3: Cross multiply
    8,161.83x = 11,270.22 × 5,182.95
  4. Step 4: Simplify right side
    8,161.83x = 58,412,986.75
  5. Step 5: Solve for x
    x = 58,412,986.75/8,161.83
  6. Step 6: Final answer
    x = 7,156.85

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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.