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Finding the Fourth Proportional to 8,162.80, 11,253.95 and 5,892.24

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Solution

The fourth proportional to 8,162.80, 11,253.95 and 5,892.24 is: 8,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.80 : 11,253.95 = 5,892.24 : x
  2. Step 2: Convert to fraction form
    8,162.80/11,253.95 = 5,892.24/x
  3. Step 3: Cross multiply
    8,162.80x = 11,253.95 × 5,892.24
  4. Step 4: Simplify right side
    8,162.80x = 66,310,974.35
  5. Step 5: Solve for x
    x = 66,310,974.35/8,162.80
  6. Step 6: Final answer
    x = 8,123.56

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1.5x scale

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.