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Finding the Fourth Proportional to 11,289.60, 16,934.40 and 5,446.80

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Solution

The fourth proportional to 11,289.60, 16,934.40 and 5,446.80 is: 8,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.60 : 16,934.40 = 5,446.80 : x
  2. Step 2: Convert to fraction form
    11,289.60/16,934.40 = 5,446.80/x
  3. Step 3: Cross multiply
    11,289.60x = 16,934.40 × 5,446.80
  4. Step 4: Simplify right side
    11,289.60x = 92,238,289.92
  5. Step 5: Solve for x
    x = 92,238,289.92/11,289.60
  6. Step 6: Final answer
    x = 8,170.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.