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Finding the Fourth Proportional to 8,204.60, 11,354.83 and 8,008.04

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Solution

The fourth proportional to 8,204.60, 11,354.83 and 8,008.04 is: 11,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.60 : 11,354.83 = 8,008.04 : x
  2. Step 2: Convert to fraction form
    8,204.60/11,354.83 = 8,008.04/x
  3. Step 3: Cross multiply
    8,204.60x = 11,354.83 × 8,008.04
  4. Step 4: Simplify right side
    8,204.60x = 90,929,856.04
  5. Step 5: Solve for x
    x = 90,929,856.04/8,204.60
  6. Step 6: Final answer
    x = 11,082.80

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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.