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Finding the Fourth Proportional to 8,195.16, 12,288.36 and 3,808.80

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Solution

The fourth proportional to 8,195.16, 12,288.36 and 3,808.80 is: 5,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.16 : 12,288.36 = 3,808.80 : x
  2. Step 2: Convert to fraction form
    8,195.16/12,288.36 = 3,808.80/x
  3. Step 3: Cross multiply
    8,195.16x = 12,288.36 × 3,808.80
  4. Step 4: Simplify right side
    8,195.16x = 46,803,905.57
  5. Step 5: Solve for x
    x = 46,803,905.57/8,195.16
  6. Step 6: Final answer
    x = 5,711.16

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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.