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Finding the Fourth Proportional to 8,195.40, 12,289.60 and 4,496.56

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Solution

The fourth proportional to 8,195.40, 12,289.60 and 4,496.56 is: 6,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.40 : 12,289.60 = 4,496.56 : x
  2. Step 2: Convert to fraction form
    8,195.40/12,289.60 = 4,496.56/x
  3. Step 3: Cross multiply
    8,195.40x = 12,289.60 × 4,496.56
  4. Step 4: Simplify right side
    8,195.40x = 55,260,923.78
  5. Step 5: Solve for x
    x = 55,260,923.78/8,195.40
  6. Step 6: Final answer
    x = 6,742.92

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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.